Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Differential Equations

AMS Subj. Classification: 49J15, 49M15

A Dichotomy for Ordinary Differential Equations in a Banach Space

A dichotomysimilar property for a class of homogeneous differential equations in an arbitrary Banach space is introduced. By help of them, existence of quasi bounded solutions of the appropriate nonhomogeneous equation is proved.

Operational Methods in the Environment of a Computer Algebra System

This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.

Asymptotic Expansion of Solution for Almost Regular and Weakly Perturbed Systems of Ordinary Differential Equations

Л. И. Каранджулов, Н. Д. Сиракова - В работата се прилага методът на Поанкаре за решаване на почти регулярни нелинейни гранични задачи при общи гранични условия. Предполага се, че диференциалната система съдържа сингулярна функция по отношение на малкия параметър. При определени условия се доказва асимптотичност на решението на поставената задача.

Oscillation Properties of Some Functional Fourth Order Ordinary Differential Equations

2010 Mathematics Subject Classification: 34A30, 34A40, 34C10.

Optical fibre gratings with response to 2μm and their sensing capabilities

Recently, we have extended fibre grating devices in to mid-IR range. Fibre Bragg gratings (FBGs) and long-period gratings (LPGs) with spectral responses from near-IR (800nm) to mid-IR ( ∼ 2μm) have been demonstrated with transmission loss as strong as 10-20dB. 2μm FBG and LPG showed temperature and refractive index (RI) sensitivities of ∼ 91pm/°C and 357nm/RIU respectively. Finally, we have performed a bio sensing experiment by monitoring the degradation of foetal bovine serum at room temperature. The results encouragingly show that the mid-IR LPGs can be an ideal biosensor platform as they have high RI sensitivity and can be used to detect concentration change of bio-samples. © 2012 SPIE.

Dynamic capabilities for CSR management:towards identifying common processes

Purpose – The objective of this paper is to address the question whether and how firms can follow a standard management process to cope with emerging corporate social responsibility (CSR) challenges? Both researchers and practitioners have paid increasing attention to the question because of the rapidly evolving CSR expectations of stakeholders and the limited diffusion of CSR standardization. The question was addressed by developing a theoretical framework to explain how dynamic capabilities can contribute to effective CSR management. Design/methodology/approach – Based on 64 world-leading companies’ contemporary CSR reports, we carried out a large-scale content analysis to identify and examine the common organizational processes involved in CSR management and the dynamic capabilities underpinning those management processes. Findings – Drawing on the dynamic capabilities perspective, we demonstrate how the deployment of three dynamic capabilities for CSR management, namely, scanning, sensing and reconfiguration capabilities can help firms to meet emerging CSR requirements by following a set of common management processes. The findings demonstrate that what is more important in CSR standardization is the identification and development of the underlying dynamic capabilities and the related organizational processes and routines, rather than the detailed operational activities. Originality/value - Our study is an early attempt to examine the fundamental organizational capabilities and processes involved in CSR management from the dynamic capabilities perspective. Our research findings contribute to CSR standardization literature by providing a new theoretical perspective to better understand the capabilities enabling common CSR management processes.

Explicating dynamic capabilities for corporate sustainability

Purpose – Differences in corporate commitments to sustainability have attracted increasing attentions of both researchers and practitioners. However, reasons behind such differences still lack a generic theorization. We propose that one source of these differences lies in the development and application of what we refer to as dynamic capabilities for corporate sustainability within the firm. Drawing on the dynamic capabilities view, the objective of this paper is to examine the fundamental role of dynamic capabilities in corporate sustainable development. Design/methodology/approach – The research developed a framework of dynamic capabilities for corporate sustainability and used the approach of content analysis to verify the framework based on the CSR reports of UK leading companies. Findings – The research demonstrates that the dynamic capabilities for corporate sustainability enable firms to monitor the emerging sustainability needs of various stakeholders, seize sustainable development opportunities from the rapidly changing stakeholders’ expectations, and reconfigure existing functional capabilities for corporate sustainability. Practical implications – The framework of dynamic capabilities for corporate sustainability developed in this paper may be used by practitioners to better understand firms’ status in the corporate sustainable development, identify areas of improvement, and more effectively overcome emerging sustainability challenges. Originality/value – This study makes an early attempt to extend the dynamic capabilities perspective to the area of corporate sustainable development.

Implementing dynamic capabilities for corporate strategic change towards sustainability

Dynamic scanning, identification, and reconfiguration capabilities can facilitate firms' strategic change toward sustainability and higher competitive advantage in an evolving market environment.