Boundary value problems for third-order nonlinear ordinary differential equations

In this paper, we describe how to analyze boundary value problems for third-order nonlinear ordinary differential equations over an infinite interval. Several physical problems of interest are governed by such systems. The seminumerical schemes described here offer some advantages over solutions obtained by using traditional methods such as finite differences, shooting method, etc. These techniques also reveal the analytic structure of the solution function. For illustrative purposes, several physical problems, mainly drawn from fluid mechanics, are considered; they clearly demonstrate the efficiency of the techniques presented here.

Existence and approximations of solutions to some fractional order functional integral equations

In this paper we shall study a fractional order functional integral equation. In the first part of the paper, we proved the existence and uniqueness of mile and global solutions in a Banach space. In the second part of the paper, we used the analytic semigroups theory oflinear operators and the fixed point method to establish the existence, uniqueness and convergence of approximate solutions of the given problem in a separable Hilbert space. We also proved the existence and convergence of Faedo-Galerkin approximate solution to the given problem. Finally, we give an example.

Suomalaisten yritysten vapaaehtoinen sosiaalinen vastuu : Sidosryhmäviitekehys yritysten ja ulkoisten sidosryhmien edustajien näkemyksissä

Corporate social responsibility (CSR) is no longer only an issue of companies but a concern shared by e.g. the European Union, the International Labour Organization, labour market organizations and many others. This thesis examines what kind of voluntary corporate social responsibility exceeding the minimum level set in the legislation can be expected from the Finnish companies. The research was based on the interviews of some representatives of Finnish companies and of external stakeholders. Earlier Finnish empirical research on the topic has solely analysed the stakeholder thinking and the ethics of the views of the company representatives. The views of the external stakeholders brought ht up a much more versatile perspective on the voluntary corporate social responsibility of the companies. That is the particular surplus value of this research. This research, founded on stakeholder thinking, evaluated what kind of starting points and ideas on responsibility the views of the representatives of the companies and the external stakeholders were based on the voluntary social responsibility. Furthermore, the research also investigated how their views about the corporate social responsibility indicated the benefits achieved on the cooperative actions with different partners - for example companies, communities and public administration. To fulfil the aims of the research, the following questions were used as part tasks in mapping the basic foundations and starting points expressed by the representatives of the companies and the external stakeholders: 1) How do laws, directions concerning social responsibility of companies, and opinions and demands of the stakeholders guide and affect the voluntary corporate social responsibility? 2) How can companies assume voluntary corporate social responsibility in addition to their core functions and without compromising their profitability, and how does, for example, the tightening competition affect the possibility of taking responsibility? 3) What kind of ethic and moral foundations is the corporate social responsibility based on? 4) What kind of roles can companies have in securing and promoting the well-being of citizens in Finland and on the global market as one subsystem of the society? The views on the voluntary corporate social responsibility of nine big companies, one medium-sized company and one small company, all considered responsible pioneer companies, were studied with surveys and half-structured theme interviews between 2003 and 2004. The research proceeded as a theory-bounded study. The empirical material and the previous stakeholder thinking theories (Takala 2000b, Vehkaperä 2003) guided the thesis and worked abductively in interplay with each other during the research process. (Tuomi, Sarajärvi 2002.) The aims and the methods of the research and the themes of the interviews were defined on the basis of that information. The aims of the research were surveyed qualitatively with the strategy of a multiple case study. Representatives from nine big peer companies and nine external stakeholders were interviewed with half-structured themes between 2004 and 2005. The external stakeholders and the peer companies were chosen with the "thinking" of theoretical replication by Yin, according to which the views of the representatives of those groups would differ from those of the pioneer companies and also from those of each others. The multiple case study supports analysing the internal cohesion of the views of different groups and comparing their differences, and it supports theoretical evaluation and theory-building as well. (Yin 2003.) Another reason for choosing the external stakeholders was their known cooperation with companies. The spoken argumentations of the company and stakeholder representatives on the voluntary social responsibility of the companies were analysed and interpreted in the first place with an analytic discourse analysis, and the argumentations were classified allusively into the stakeholder discourses in three of the part tasks. In the discourse analysis, argumentations of the speech is seen to be intervowen with cultural meanings. (Jokinen, Juhila 1999.) The views of the representatives of the pioneer companies and the external stakeholders were more stakeholder-orientated than the views of the representatives of the peer companies. For the most part, the voluntary corporate social responsibility was seemingly targeted on single, small cooperation projects of the companies and external stakeholders. The pioneer companies had more of those projects, and they were participating in the projects more actively than the peer companies were. The significant result in this research was the notion that, in particular, the representatives of the pioneer companies and external stakeholders did not consider employing and paying taxes to be enough of reciprocal corporate social responsibility. However, they still wanted to preserve the Finnish welfare model, and the interviewees did not wish major changes in the present legislation or the social agreements. According to this study, the voluntary corporate social responsibility is motivated by ethical utilitarianism which varied from very narrow to very wide in relation to benefits achieved by companies and stakeholders (Velasquez 2002, Lagerspetz 2004). Compared with the peer companies, more of the representatives of the pioneer companies and of external stakeholders estimated that companies in their decision-making and operations considered not only the advantages and the benefits of the owners and other internal stakeholders, but also those of the external stakeholders and of the whole society. However, all interviewees expressed more or less strongly that the economic responsibility guides the voluntary responsible actions of the companies in the first place. This kind of utilitarian foundation of behaviour appeared from this research was named as business-orientated company moral. This thesis also presents a new voluntary corporate social responsibility model with four variables on the stakeholder discourses and their distinctive characteristics. The utilitarian motivation of a company s behaviour on their operations has been criticized on the grounds that the end justifies the means. It has also been stated that it is impossible to evaluate the benefits of the utilitarian type of actions to the individuals and the society. It is expected however that companies for their part promote the material and immaterial well-being of the individuals on the global, national and local markets. The expectations are so strong that if companies do not take into account the ethical and moral values, they can possibly suffer significant financial losses. All stakeholders, especially consumers, can with their own choices promote the responsible behaviour of the companies. Key words: voluntary corporate social responsibility, external stakeholders, corporate citizenship, ethics and morality, utilitarianism, stakeholder discourses, welfare society, globalisation

Asiakassuunnitelma asiakaslähtöistä auttamista tavoitteellistamassa : Kohteen rakentumisen moniääninen menetelmä

The research focuses on client plan in the field of health care and social work on families with children. The purpose of the plan is to create objectives for helping the client and to assist in coordinating the ever-increasing multi-professional work. In general, the plan is understood in terms of assignments and as a contract specifying what to do in client cases. Taking this into consideration, the plan is outsourced into a written document. Instead of understanding the plan as a tool that stabilizes the objectives of action, documents it and facilitates evaluation, the client plan is conceptualized in this study as a practice. This kind of practice mediates client work as being itself also a process of action that focuses on an object whose gradual emergence and definition is the central question in multi-professional collaboration with a client. The plan is examined empirically in a non-stabilized state which leads to the research methodology being based on the dynamics between stabilization and emerging, non-stabilized entities the co-creation and formulation of practice and context. The theoretical approach of the research is the micro analytic approach of activity theory (Engeström R. 1999b). Grounding on this, the research develops a method of qualitative analysis which follows an emerging object with multiple voices. The research data is composed of the videotaped sessions from client meetings with three families, the interviews with the client and the workers as well as client documents that are used to follow up on client processes for at least one year. The research questions are as follows: 1) How is the client plan constructed between the client and different professional agents? 2) How are meanings constructed in a client-centred plan? 3) What are the elements of client-employee relationships that support the co-configuration necessitated by the changes in the client s everyday life? The study shows that the setting of objectives were limited by the palette of institutional services, which caused that the clients interpretations and acts of giving meaning to the kinds of help that was required were left out of the plan. Conceptually, the distinctions between client-centred and client-specific ways of working as well as an action-based working method are addressed. Central to this action-based approach is construing the everyday life of the client, recognizing different meanings and analyzing them together with the client as well as focusing attention on developing the prerequisites for social agency of the clients. The research portrays the elements for creating an action-based client plan. Key words: client plan, user perspective, multi-voiced meaning, multi-professional social work with children and families, agency

Spatialised metaphors of practice: How teacher educators engage with professional standards for teachers

Preservice teacher educators, both nationally and internationally, must negotiate a plethora of expectations including using Professional Standards to enhance teacher quality. In Australia, the recent Teacher Education Ministerial Advisory Group (TEMAG) report highlighted weak application of Standards in Initial Teacher Education (ITE). However, recent findings suggest that education stakeholders feel positive about the implementation of the Australian Professional Standards for Teachers (APSTs). This study responds to these differing viewpoints by exploring how teacher educators in a large metropolitan university in Australia account for the use of Standards in their work. Discourse analytic techniques in conjunction with socio-spatial theory make visible particular metaphors of practice as teacher educators negotiate the real-and-imagined spaces of regulated teacher education programs. The findings highlight the importance of investigating the utility of Standards in the lived experiences of teacher educators, as they are responsible for preparing quality, classroom ready graduates.

Stereochemical analysis of the antigenic tip of the V3 loop peptide of HIV-1 gp120

A novel multiple turn conformation has been observed for a segment GPGRAFY in the crystal structure of a complex of HIV-1 gp120 V3 loop peptide with the Fab fragment of a neutralizing antibody [Ghiara ct al. (1994) Science 264, 82-85]. A structural motif has been defined for the peptide segment, employing idealized backbone conformations characterized by ranges of virtual C-alpha torsion angles and bond angles. A search of 122 high-resolution protein crystal structures has permitted identification of 24 examples of similar structural motifs. Two major conformational families have been identified, which differ primarily in the conformation at residue 3. The observed conformation at residue 3 in family 1 is left-handed helical (alpha(L)) and that in family 2 is right-handed helical (alpha(R)). Of the 10 examples in family 1, 9 examples have Gly residues at position 3. Of the 12 examples in family 2, 7 examples have Asn/Asp at position 3. Computer modeling of the V3 loop tip sequence using the two backbone conformational families as starting points leads to minimum-energy conformations in which antigenically important side-chains occupy similar spatial arrangements. This stereochemical analysis of the V3 loop tip sequence suggests a rational basis for the design of synthetic analog peptides for use as viral antagonists or synthetic antigens. (C) Munksgaard 1995.

Polypeptide Helices in Hybrid Peptide Sequences

A new class of polypeptide helices in hybrid sequences containing alpha-, beta-, and gamma-residues is described. The molecular conformations in crystals determined for the synthetic peptides Boc-Leu-Phe-Val-Aib-beta Phe-Leu-Phe-Val-OMe 1 (beta Phe: (S)-beta(3)-homophenylalanine) and Boc-Aib-Gpn-AibGpn-OM2(Gpn:1-(aminomethyl)cycl hexaneacetic acid) reveal expanded helical turns in the hybrid sequences (alpha alpha beta)(n) and (ay), In 1, a repetitive helical structure composed Of C-14 hydrogen-bonded units is observed, whereas 2 provides an example of a repetitive C-12 hydrogen-bonded structure. Using experimentally determined backbone torsion angles for the hydrogen-bonded units formed by hybrid sequences, we have generated energetically favorable hybrid helices. Conformational parameters are provided for C-11, C-12, C-13, C-14, and C-15 helices in hybrid sequences.

Non-Protein Amino Acids in the Design of Secondary Structure Scaffolds

The use of stereochemically constrained amino acids permits the design of short peptides as models for protein secondary structures. Amino acid residues that are restrained to a limited range of backbone torsion angles (ϕ-ψ) may be used as folding nuclei in the design of helices and β-hairpins. α-Amino-isobutyric acid (Aib) and related Cαα dialkylated residues are strong promoters of helix formation, as exemplified by a large body of experimentally determined structures of helical peptides. DPro-Xxx sequences strongly favor type II’ turn conformations, which serve to nucleate registered β-hairpin formation. Appropriately positioned DPro-Xxx segments may be used to nucleate the formation of multistranded antiparallel β-sheet structures. Mixed (α/β) secondary structures can be generated by linking rigid modules of helices and β-hairpins. The approach of using stereochemically constrained residues promotes folding by limiting the local structural space at specific residues. Several aspects of secondary structure design are outlined in this chapter, along with commonly used methods of spectroscopic characterization.

Conformation of di-n-propylglycine residues (Dpg) in peptides: crystal structures of a type I 'beta-turn forming tetrapeptide and an alpha-helical tetradecapeptide

The crystal structures of two oligopeptides containing di-n-propylglycine (Dpg) residues, Boc-Gly-Dpg-Gly-Leu-OMe (1) and Boc-Val-Ala-Leu-Dpg-Val-Ala-Leu-Val-Ala-Leu-Dpg-Val-Ala-Leu-OMe (2) are presented. Peptide 1 adopts a type I' beta-turn conformation with Dpg(2)-Gly(3) at the corner positions. The 14-residue peptide 2 crystallizes with two molecules in the asymmetric unit, both of which adopt alpha-helical conformations stabilized by 11 successive 5 -> 1 hydrogen bonds. In addition, a single 4 -> 1 hydrogen bond is also observed at the N-terminus. All live Dpg residues adopt backbone torsion angles (phi, psi) in the helical region of conformational space. Evaluation of the available structural data on Dpg peptides confirm the correlation between backbone bond angle N-C-alpha-C' (tau) and the observed backbone phi,psi values. For tau > 106 degrees, helices are observed, while fully extended structures are characterized by tau < 106 degrees. The mean r values for extended and folded conformations for the Dpg residue are 103.6 degrees +/- 1.7 degrees and 109.9 degrees +/- 2.6 degrees, respectively. Copyright (C) 2007 European Peptide Society and John Wiley & Sons, Ltd.

Methodological perspectives for register-based health system performance assessment : Developing a hip fracture monitoring system in Finland

The resources of health systems are limited. There is a need for information concerning the performance of the health system for the purposes of decision-making. This study is about utilization of administrative registers in the context of health system performance evaluation. In order to address this issue, a multidisciplinary methodological framework for register-based data analysis is defined. Because the fixed structure of register-based data indirectly determines constraints on the theoretical constructs, it is essential to elaborate the whole analytic process with respect to the data. The fundamental methodological concepts and theories are synthesized into a data sensitive approach which helps to understand and overcome the problems that are likely to be encountered during a register-based data analyzing process. A pragmatically useful health system performance monitoring should produce valid information about the volume of the problems, about the use of services and about the effectiveness of provided services. A conceptual model for hip fracture performance assessment is constructed and the validity of Finnish registers as a data source for the purposes of performance assessment of hip fracture treatment is confirmed. Solutions to several pragmatic problems related to the development of a register-based hip fracture incidence surveillance system are proposed. The monitoring of effectiveness of treatment is shown to be possible in terms of care episodes. Finally, an example on the justification of a more detailed performance indicator to be used in the profiling of providers is given. In conclusion, it is possible to produce useful and valid information on health system performance by using Finnish register-based data. However, that seems to be far more complicated than is typically assumed. The perspectives given in this study introduce a necessary basis for further work and help in the routine implementation of a hip fracture monitoring system in Finland.

Kuka kasvattaa, kuka opettaa? : Genealoginen tutkimus perheen ja koulun välisen kasvatusvastuun politiikasta

FAMILIES AND SCHOOLS AND THE POLITICS OF RESPONSIBILITIES - a genealogical study on family and school as carers and educators of the child population in modern society This study aims to uncover the politics behind such discourses in the media which have claimed the family to be totally responsible for children and which ignore the various responsibilities accorded to the state in matters concerning the child population. Using Max Weber s and Michael Mann s theorizing on the history of power relationships, feminist social history on patriarchy and Foucauldian power analytic concept of dispositif the study traces two competing child policies which have influenced the historical formation of modern generational order in Western societies. One of them is based on the interests of the hegemonic bourgeois elite and the other on the interests of the non-elite population, which were expressed during the phase of building the welfare state in Finland in the 1960 1980 s. The central strategies of the bourgeois child policy are 1) to construct the childhood years as a time for preparation and formation of the individual according to the interests of the elite, 2) to construct the family as the sole site of holistic care and responsibility of children in society, and 3) compulsory schooling of children of the non-elite population in state organized schools. To implement these strategies the elite uses strategically patriarchal cultural formations/dispositifs in modernized versions. The result has been the formation of a sexually divided and hierarchical order of care and education, where, on the one hand, there is the less important feminine care of children done by mothers at home and, on the other, the real education of the school, where children are made the object of authoritarian shaping and where the needs and the personal experiences of the child are ignored. The welfare order of care and education is based on the ethos of welfare society, where the state and the families are seen to share the responsibility for the child population. In this vein, families and schools are seen as partners who both have a caring attitude to children s welfare and learning. The study shows that discourses and terminology in the mainstream educational policy texts in Finland create a chaotic linguistic game which makes it difficult to have a rational discussion about the roles of family and school in the holistic care and education of children. This has opened the door to political discourses where familist interpretations of the question of responsibility are claimed to be based on law.

On the effect of matrix cracks in composite helicopter rotor blade

This paper investigates the feasibility of an on-line damage detection capability for helicopter main rotor blades made of composite material. Damage modeled in the composite is matrix cracking. A box-beam with stiffness properties similar to a hingeless rotor blade is designed using genetic algorithm for the typical [+/-theta(m)/90(n)](s) family of composites. The effect of matrix cracks is included in an analytical model of composite box-beam. An aeroelastic analysis of the helicopter rotor based on finite elements in space and time is used to study the effects of matrix cracking in the rotor blade in forward flight. For global fault detection, rotating frequencies, tip bending and torsion response, and blade root loads are studied. It is observed that the effect of matrix cracking on lag bending and elastic twist deflection at the blade tip and blade root yawing moment is significant and these parameters can be monitored for online health monitoring. For implementation of local fault detection technique, the effect on axial and shear strain, for matrix cracks in the whole blade as well as matrix cracks occurring locally is studied. It is observed that using strain measurement along the blade it is possible to locate the matrix cracks as well as to predict density of matrix cracks. (C) 2004 Elsevier Ltd. All rights reserved.

Family of Mixed-Valence Oxovanadium(IV/V) Dinuclear Entities Incorporating N4O3-Coordinating Heptadentate Ligands: Synthesis, Structure, and EPR Spectra

Dinuclear ((VVV)-V-IV) oxophenoxovanadates of general formula [V2O3L] have been synthesized in excellent yields by reacting bis(acetylacetonato)oxovanadium(IV) with H3L in a 2:1 ratio in acetone under an N-2 atmosphere. Here L3- is the deprotonated form of 2,6-bis[{{(2-hydroxybenzyl)(N',N'-(dimethylamino)ethyl)}amino}methyl]-4-methylphenol (H3L1), 2,6-bis[{{(5-methyl-2-hydroxybenzyl)(N',N'-(dimethylamino)ethyl)}amino}methyl]-4-methylphenol (H3L2) 2,6-bis[ {{(5-tert-butyl-2-hydroxybenzyl)(N',N'-(dimethylamino)ethyl)}amino}methyl]-4-methylphenoI (H3L3), 2,6-bis[{{(5-chloro-2-hydroxybenzyl)(N',N'-(dimethylamino)ethyl)}amino}methyl]-4-methylphenol (H3L4) , 2,6-bis[{{(5-bromo-2-hydroxybenzyl)(N',N'-(dimethylamino)ethyl)}amino}methyl]-4-methylphenol (H3L5), or 2,6-bis[{{(5-methoxy-2-hydroxybenzyl)(N',N'-(dimethylamino)ethyl)}amino}methyl]-4-methylphenol (H3L6). In [V2O3L1], both the metal atoms have distorted octahedral geometry. The relative disposition of two terminal V=O groups in the complex is essentially cis. The O=V...V=O torsion angle is 24.6(2)degrees. The V-O-oxo-V and V-O-phenoxo-V angles are 117.5(4) and 93.4(3)degrees, respectively. The V...V bond distance is 3.173(5) Angstrom. X-ray crystallography, IR, UV-vis, and H-1 and V-51 NMR measurements show that the mixed-valence complexes contain two indistinguishable vanadium atoms (type 111). The thermal ellipsoids of O2, O4, C10, C14, and C15 also suggests a type III complex in the solid state. EPR spectra of solid complexes at 77 K display a single line indicating the localization of the odd electron (3d(xy)(1)). Valence localization at 77 K is also consistent with the V-51 hyperfine structure of the axial EPR spectra (3d(xy)(1) ground state) of the complexes in frozen (77 K) dichloromethane solution: S = 1/2, g(parallel to) similar to 1.94, g(perpendicular to) similar to 1.98, A(parallel to) similar to 166 x 10(-4) cm(-1), and A(perpendicular to) similar to 68 x 10(-4) cm(-1). In contrast isotropic room-temperature solution spectra of the family have 15 hyperfine lines (g(iso) similar to 1.974 and A(iso) similar to 50 x 10(-4) cm(-1)) revealing that the unpaired electron is delocalized between the metal centers. Crystal data for the [V2O3L1].CH2Cl2 complex are as follows: chemical formula, C32H43O6N4C12V2; crystal system, monoclinic; space group, C2/c; a = 18.461(4), b = 17.230(3), c = 13.700(3) Angstrom; beta = 117.88(3)degrees; Z = 8.

Boundary value problems for third-order nonlinear ordinary differential equations

In this paper, we describe how to analyze boundary value problems for third-order nonlinear ordinary differential equations over an infinite interval. Several physical problems of interest are governed by such systems. The seminumerical schemes described here offer some advantages over solutions obtained by using traditional methods such as finite differences, shooting method, etc. These techniques also reveal the analytic structure of the solution function. For illustrative purposes, several physical problems, mainly drawn from fluid mechanics, are considered; they clearly demonstrate the efficiency of the techniques presented here.

On cluster approximations of cellular automata

In this thesis I examine one commonly used class of methods for the analytic approximation of cellular automata, the so-called local cluster approximations. This class subsumes the well known mean-field and pair approximations, as well as higher order generalizations of these. While a straightforward method known as Bayesian extension exists for constructing cluster approximations of arbitrary order on one-dimensional lattices (and certain other cases), for higher-dimensional systems the construction of approximations beyond the pair level becomes more complicated due to the presence of loops. In this thesis I describe the one-dimensional construction as well as a number of approximations suggested for higher-dimensional lattices, comparing them against a number of consistency criteria that such approximations could be expected to satisfy. I also outline a general variational principle for constructing consistent cluster approximations of arbitrary order with minimal bias, and show that the one-dimensional construction indeed satisfies this principle. Finally, I apply this variational principle to derive a novel consistent expression for symmetric three cell cluster frequencies as estimated from pair frequencies, and use this expression to construct a quantitatively improved pair approximation of the well-known lattice contact process on a hexagonal lattice.