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.

Itämafia : Uhkakuvapolitiikka, rikosilmiöt ja kulttuuriset merkitykset

The Eastern Mafia Threat policy, crime phenomena, and cultural meanings An interdisciplinary research on the crime phenomena and the threat policy relating to the organized crime and the mafia of Russia and Estonia is based on 151 expert interviews, statistics, documents, research literature, and press material. The main part of the material consists of interviews of the Finnish, Estonian and Russian police authorities specialized in the problem of organized crime, and the reports on the crime situation drawn up in the Finnish diplomatic representations in Tallinn and St Petersburg. The interviews have been gathered in the years 1996-2001. The main theoretical tools of the research are constructivist research on social problems, and political psychology. Definitional processes of social problems and cultural semantic structures behind them are identified in the analysis and connected to the analysis of the crime cases. Both in the Anglo-American and Russian cultural frames there appears an inflated and exaggerated talk, according to which the mafia rules everything in Russia and is spreading everywhere. There is the traditional anti-Semitic paranoia in the core of this cultural symbiosis produced by Russian legal nihilism, the theory of totalitarianism of Sovietology, and the inertia of Russian anti-capitalism. To equate the Sicilian Mafia with Russia is an anachronism, since no empirical proof of systematic uncontrolled violence or absolute power vacuum in Russia can be found. In the Anglo-American policy of threat images, "the Russian mafia" was seen as a commodified conspiracy theory, which the police, the media, and the research took advantage of, blurring the line between fact and fiction. In Finland, the evolution of the policy of threat images proceeded in three phases: Initially, extensive rolling of refugees and criminals from Russia to Finland was emphasized in the beginning of the 1990's. In the second phase, the eastern mafia was said to infiltrate all over Finnish society and administration. Finland was, however, found immune to this kind of spreading. In the third phase, in the 21st century, the organized crime of Finland was said to be lead from abroad. In Finland, the policy of threat images was especially canalised to moral panics connected to "eastern prostitution". In Estonia, the policy of threat images emphasized the crime organized by the Russian authorities and politicians in order to weaken Estonia. In Russia, the policy of threat images emphasized the total criminalizing of society caused by criminal capitalism. In every country, the policy of threat images was affected by a so-called large-group identity, a term by Vamik Volkan, in which a so-called chosen trauma caused a political paranoia of an outer and inner danger. In Finland, procuring, car theft, and narcotics crimes were at their widest arranged by the Finnish often with the help of the Estonians. The Russians had no influence in the most serious violent crimes in Finland, although the number of assassinations were at least 5, 000 in Russia in the 1990's. In Russia, the assassinations were on one hand connected to marital problems, on the other hand to the pursuit of public attention and a hoped-for effect by the aid of the murder of an influential person. In the white-collar crime phenomena between Finland and Russia, the Finnish state and Finnish corporations gained remarkable benefit of the frauds aimed at the states of the Soviet Union and Russia in 1980's-21st century. The situation of Estonia was very difficult compared to that of Russia in the 1990's, which was manifested in the stagnation of the Estonian police and judicial authorities, the crimes of the police and the voluntary paramilitary organization, bomb explosions, the rebellion called "the jaeger crisis" in the voluntary paramilitary organization, and the "blood autumn" of Eastern Virumaa, in other words terror. The situation of Estonia had a powerful effect on the crime situation of Finland and on the security of the Finnish diplomats. In the continuum of the Finnish policy of threat images, Russia and the Russians were, however, presented as a source of a marked danger.

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 the study of a third-order mechanical oscillator

In this paper, the study of a third-order mechanical oscillator is presented by demonstrating its equivalence to the well-known R.C. multivibrator with two additional reactive elements. The conditions for the oscillator's possession of periodic solutions are presented. It is also shown that under certain conditions, the study of the given third-order autonomous system can be reduced to the study of an equivalent second-order, non-autonomous system.

Correlation of structural disorder with the reversible discharge capacity of nickel hydroxide electrode

Hydrothermal treatment of a slurry of badly crystalline (beta(bc)) nickel hydroxide at different temperatures (65-170 degrees C) results in the progressive ordering of the structure by the step-wise elimination of disorders. Interstratification is eliminated at 140 degrees C, while cation vacancies are eliminated at 170 degrees C. A small percentage of stacking faults continue to persist even in `crystalline' samples. Electrochemical investigations show that the crystalline nickel hydroxide has a very low (0.4 e/Ni) reversible charge storage capacity. An incidence of at least 15% stacking faults combined with cation vacancies is essential for nickel hydroxide to perform close to its theoretical (1 e/ Ni) discharge capacity. (c) 2005 The Electrochemical Society.

Numerical procedure for second order non-linear ordinary differential equations and application to heat transfer problem

In this paper, we have first given a numerical procedure for the solution of second order non-linear ordinary differential equations of the type y″ = f (x;y, y′) with given initial conditions. The method is based on geometrical interpretation of the equation, which suggests a simple geometrical construction of the integral curve. We then translate this geometrical method to the numerical procedure adaptable to desk calculators and digital computers. We have studied the efficacy of this method with the help of an illustrative example with known exact solution. We have also compared it with Runge-Kutta method. We have then applied this method to a physical problem, namely, the study of the temperature distribution in a semi-infinite solid homogeneous medium for temperature-dependent conductivity coefficient.

Future chemistry teachers use of knowledge dimensions and high-order cognitive skills in pre-laboratory concept maps

This poster describes a pilot case study, which aim is to study how future chemistry teachers use knowledge dimensions and high-order cognitive skills (HOCS) in their pre-laboratory concept maps to support chemistry laboratory work. The research data consisted of 168 pre-laboratory concept maps that 29 students constructed as a part of their chemistry laboratory studies. Concept maps were analyzed by using a theory based content analysis through Anderson & Krathwohls' learning taxonomy (2001). This study implicates that novice concept mapper students use all knowledge dimensions and applying, analyzing and evaluating HOCS to support the pre-laboratory work.

Clustering phenomena in Al-4.4 at. % Zn alloy with 0.03 and 0.08 at. % Ag additions

The influence of 0.03 and 0.08 at. % Ag additions on the clustering of Zn atoms in an Al-4.4 at. % Zn alloy has been studied by resistometry. The effect of quenching and ageing temperatures shows that the ageing-ratio method of calculating the vacancy-solute atom binding energy is not applicable to these alloys. Zone-formation in Al-Zn is unaffected by Ag additions, but the zone-reversion process seems to be influenced. Apparent vacancy-formation energies in the binary and ternary alloys have been used to evaluate the v-Ag atom binding energy as 0.21 eV. It is proposed that, Ag and Zn being similar in size, the relative vacancy binding results from valency effects, and that in Al-Zn-Ag alloys clusters of Zn and Ag may form simultaneously, unaffected by the presence of each other. © 1970 Chapman and Hall Ltd.

Critical phenomena in the coexistence curve of the binary liquid system

The coexistence curve of the carbondisulphide-acetic anhydride system has been measured. The shape of the curve in the critical region (Xc ≈ 70.89 mole % mole % CS2 and Tc ≈ 30.56° C) is determined by the equation |X′ - X″| = Bx (1 - T/Tc)β with the critical indices β = 0.34 ± 0.01 and Bx = 1.7 ± 0.1 over a range 10-6 < (Tc - T)/Tc < 10-2. The values of β and Bx agree with those of other systems and the theoretical predictions of the Ising model.

Bilingual Notaries in Hellenistic Egypt : A Study of Language Use

The impact of Greek-Egyptian bilingualism on language use and linguistic competence is the key issue in this dissertation. The language use in a corpus of 148 Greek notarial contracts is analyzed on phonological, morphological and syntactic levels. The texts were written by bilingual notaries (agoranomoi) in Upper Egypt in the later Hellenistic period. They present, for the most part, very good administrative Greek. On the other hand, their language contains variation and idiosyncrasies that were earlier condemned as ungrammatical and bad Greek, and were not subjected to closer analysis. In order to reach plausible explanations for those phenomena, a thorough research into the sociohistorical and linguistic context was needed before the linguistic analysis. The general linguistic landscape, the population pattern and the status and frequency of Greek literacy in Ptolemaic Egypt in general, and in Upper Egypt in particular, are presented. Through a detailed examination of the notaries themselves (their names, families and handwriting), it became evident that there were one to three persons at the notarial office writing under the signature of one notary. Often the documents under one notary's name were written in the same hand. We get, therefore, exceptionally close to studying idiolects in written material from antiquity. The qualitative linguistic analysis revealed that the notaries made relatively few orthographic mistakes that reflect the ongoing phonological changes and they mastered the morphological forms. The problems arose at the syntactic level, for example, with the pattern of agreement between the noun groups or a noun with its modifiers. The significant structural differences between Greek and Egyptian can be behind the innovative strategies used by some of the notaries. Moreover, certain syntactic structures were clearly transferred from the notaries first language, Egyptian. This is obvious in the relative clause structure. Transfer can be found in other structures, as well, although, we must not forget the influence of parallel Greek structures. Sometimes these can act simultaneously. The interesting linguistic strategies and transfer features come mostly from the hand of one notary, Hermias. Some other notaries show similar patterns, for example, Hermias' cousin, Ammonios. Hermias' texts reveal that he probably spoke Greek more than his predecessors. It is possible to conclude, then, that the notaries of the later generations were more fluently bilingual; their two languages were partly integrated in their minds as an interlanguage combining elements from both languages. The earlier notaries had the two languages functionally separated and they followed the standardized contract formulae more rigidly.

Word order and tonal shape in the production of focus in short Finnish utterances

This paper presents results from a study on the production of Finnish prosody. The effect of word order and the tonal shape in the production of Finnish prosody was studied as produced by 8 native Finnish speakers. Predictions formulated with regard to results from an earlier study pertaining to the perception of promi- nence were tested. These predictions had to do with the tonal shape of the utterances in the form of a flat hat pattern and the effect of word order on the so called top-line declination within an adver- bial phrase in the utterances. The results from the experiment give support to the following claims: the temporal domain of prosodic focus is the whole utterance, word order reversal from unmarked to marked has an effect on the production of prosody, and the pro- duction of the tonal aspects of focus in Finnish follows a basic flat hat pattern. That is the prominence of a word can be produced by an f 0 rise or a fall, depending on the location of the word in an utterance. The basic accentual shape of a Finnish word is then not a pointed rise/fall hat shape as claimed before since it can vary depending on the syllable structure and the position within an ut- terance.

Elastic behaviour of matter under very high pressures - Uniform compression

In order to study the elastic behaviour of matter when subjected to very large pressures, such as occur for example in the interior of the earth, and to provide an explanation for phenomena like earthquakes, it is essential to be able to calculate the values of the elastic constants of a substance under a state of large initial stress in terms of the elastic constants of a natural or stress-free state. An attempt has been made in this paper to derive expressions for these quantities for a substance of cubic symmetry on the basis of non-linear theory of elasticity and including up to cubic powers of the strain components in the strain energy function. A simple method of deriving them directly from the energy function itself has been indicated for any general case and the same has been applied to the case of hydrostatic compression. The notion of an effective elastic energy-the energy require to effect an infinitesimal deformation over a state of finite strain-has been introduced, the coefficients in this expression being the effective elastic constants. A separation of this effective energy function into normal co-ordinates has been given for the particular case of cubic symmetry and it has been pointed out, that when any of such coefficients in this normal form becomes negative, elastic instability will set in, with associated release of energy.

Roman Ingarden’s Objectivity vs. Subjectivity as a problem of Translatability

Ingarden (1962, 1964) postulates that artworks exist in an “Objective purely intentional” way. According to this view, objectivity and subjectivity are opposed forms of existence, parallel to the opposition between realism and idealism. Using arguments of cognitive science, experimental psychology, and semiotics, this lecture proposes that, particularly in the aesthetic phenomena, realism and idealism are not pure oppositions; rather they are aspects of a single process of cognition in different strata. Furthermore, the concept of realism can be conceived as an empirical extreme of idealism, and the concept of idealism can be conceived as a pre-operative extreme of realism. Both kind of systems of knowledge are mutually associated by a synecdoche, performing major tasks of mental order and categorisation. This contribution suggests that the supposed opposition between objectivity and subjectivity, raises, first of all, a problem of translatability, more than a problem of existential categories. Synecdoche seems to be a very basic transaction of the mind, establishing ontologies (in the more Ingardean way of the term). Wegrzecki (1994, 220) defines ontology as “the central domain of philosophy to which other its parts directly or indirectly refer”. Thus, ontology operates within philosophy as the synecdoche does within language, pointing the sense of the general into the particular and/or viceversa. The many affinities and similarities between different sign systems, like those found across the interrelationships of the arts, are embedded into a transversal, synecdochic intersemiosis. An important question, from this view, is whether Ingardean’s pure objectivities lie basically on the impossibility of translation, therefore being absolute self-referential constructions. In such a case, it would be impossible to translate pure intentionality into something else, like acts or products.