Arun Kumar Tripathy – författare

Hyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations. In 1940, S. M. Ulam posed the problem: When can we assert that approximate solution of a functional equation can be approximated by a solution of the corresponding equation before the audience at the University of Wisconsin which was first answered by D. H. Hyers on Banach space in 1941. Thereafter, T. Aoki, D. H. Bourgin and Th. M. Rassias improved the result of Hyers. After that many researchers have extended the Ulam's stability problems to other functional equations and generalized Hyer's result in various directions. Last three decades, this topic is very well known as Hyers-Ulam Stability or sometimes it is referred Hyers-Ulam-Rassias Stability. This book synthesizes interdisciplinary theory, definitions and examples of Ordinary Differential and Difference Equations dealing with stability problems. The purpose of this book is to display the new kind of stability problem to global audience and accessible to a broader interdisciplinary readership for e.g those are working in Mathematical Biology Modeling, bending beam problems of mechanical engineering also, some kind of models in population dynamics. This book may be a starting point for those associated in such research and covers the methods needed to explore the analysis.Features: The state-of-art is pure analysis with background functional analysis. A rich, unique synthesis of interdisciplinary findings and insights on resources. As we understand that the real world problem is heavily involved with Differential and Difference equations, the cited problems of this book may be useful in a greater sense as long as application point of view of this Hyers-Ulam Stability theory is concerned. Information presented in an accessible way for students, researchers, scientists and engineers.

Hyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations. In 1940, S. M. Ulam posed the problem: When can we assert that approximate solution of a functional equation can be approximated by a solution of the corresponding equation before the audience at the University of Wisconsin which was first answered by D. H. Hyers on Banach space in 1941. Thereafter, T. Aoki, D. H. Bourgin and Th. M. Rassias improved the result of Hyers. After that many researchers have extended the Ulam''s stability problems to other functional equations and generalized Hyer''s result in various directions. Last three decades, this topic is very well known as Hyers-Ulam Stability or sometimes it is referred Hyers-Ulam-Rassias Stability. This book synthesizes interdisciplinary theory, definitions and examples of Ordinary Differential and Difference Equations dealing with stability problems.

The purpose of this book is to display the new kind of stability problem to global audience and accessible to a broader interdisciplinary readership for e.g those are working in Mathematical Biology Modeling, bending beam problems of mechanical engineering also, some kind of models in population dynamics. This book may be a starting point for those associated in such research and covers the methods needed to explore the analysis.

Features:

The state-of-art is pure analysis with background functional analysis.

A rich, unique synthesis of interdisciplinary findings and insights on resources.

As we understand that the real world problem is heavily involved with Differential and Difference equations, the cited problems of this book may be useful in a greater sense as long as application point of view of this Hyers-Ulam Stability theory is concerned.

Information presented in an accessible way for students, researchers, scientists and engineers.

Hyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations. In 1940, S. M. Ulam posed the problem: When can we assert that approximate solution of a functional equation can be approximated by a solution of the corresponding equation before the audience at the University of Wisconsin which was first answered by D. H. Hyers on Banach space in 1941. Thereafter, T. Aoki, D. H. Bourgin and Th. M. Rassias improved the result of Hyers. After that many researchers have extended the Ulam''s stability problems to other functional equations and generalized Hyer''s result in various directions. Last three decades, this topic is very well known as Hyers-Ulam Stability or sometimes it is referred Hyers-Ulam-Rassias Stability. This book synthesizes interdisciplinary theory, definitions and examples of Ordinary Differential and Difference Equations dealing with stability problems.

The purpose of this book is to display the new kind of stability problem to global audience and accessible to a broader interdisciplinary readership for e.g those are working in Mathematical Biology Modeling, bending beam problems of mechanical engineering also, some kind of models in population dynamics. This book may be a starting point for those associated in such research and covers the methods needed to explore the analysis.

Features:

The state-of-art is pure analysis with background functional analysis.

A rich, unique synthesis of interdisciplinary findings and insights on resources.

As we understand that the real world problem is heavily involved with Differential and Difference equations, the cited problems of this book may be useful in a greater sense as long as application point of view of this Hyers-Ulam Stability theory is concerned.

Information presented in an accessible way for students, researchers, scientists and engineers.

This book examines the transformation of modern corporations in an era defined by governance reform, sustainability imperatives, financial volatility, digital disruption and regulatory complexity. It synthesizes interdisciplinary research to explain how organizations can remain resilient, ethical and value-creating amid rapid technological and institutional change. By integrating insights from corporate governance, ESG, finance, law and artificial intelligence, the volume offers a holistic framework for understanding contemporary business challenges and strategic decision-making.The book is organized into five thematic parts covering board governance and leadership, ESG and sustainability, financial performance and risk management, digital innovation and AI and legal and regulatory frameworks. It presents empirical and analytical studies on board diversity, ethical and spiritual leadership, sustainability disclosures, greenwashing, risk modeling, market psychology, post-pandemic resilience and AI-enabled decision systems. Comparative regulatory analyses and real-world case studies demonstrate how governance quality, technological adoption and compliance standards directly affect firm performance and stakeholder trust. The book’s main finding is that long-term corporate success depends on aligning technological capability, ethical judgment, financial prudence and regulatory discipline within an integrated governance ecosystem.The book is intended for academics, doctoral scholars, policymakers, corporate leaders, board members, regulators and advanced students in management, finance, law and sustainability. It is particularly relevant for readers seeking research-driven insights into governance, ESG, digital transformation and risk across emerging and global markets.

This book examines the transformation of modern corporations in an era defined by governance reform, sustainability imperatives, financial volatility, digital disruption and regulatory complexity. It synthesizes interdisciplinary research to explain how organizations can remain resilient, ethical and value-creating amid rapid technological and institutional change. By integrating insights from corporate governance, ESG, finance, law and artificial intelligence, the volume offers a holistic framework for understanding contemporary business challenges and strategic decision-making.The book is organized into five thematic parts covering board governance and leadership, ESG and sustainability, financial performance and risk management, digital innovation and AI and legal and regulatory frameworks. It presents empirical and analytical studies on board diversity, ethical and spiritual leadership, sustainability disclosures, greenwashing, risk modeling, market psychology, post-pandemic resilience and AI-enabled decision systems. Comparative regulatory analyses and real-world case studies demonstrate how governance quality, technological adoption and compliance standards directly affect firm performance and stakeholder trust. The book’s main finding is that long-term corporate success depends on aligning technological capability, ethical judgment, financial prudence and regulatory discipline within an integrated governance ecosystem.The book is intended for academics, doctoral scholars, policymakers, corporate leaders, board members, regulators and advanced students in management, finance, law and sustainability. It is particularly relevant for readers seeking research-driven insights into governance, ESG, digital transformation and risk across emerging and global markets.

This book explores the dynamic landscape of corporate governance, focusing on the perspective of emerging markets. It delves into the evolving governance frameworks of these markets, highlighting variations in board structures, CEO roles, and director compositions due to diverse traditions and cultures. Emerging markets differ significantly from developed markets, characterized by concentrated ownership and the prevalence of family business groups within weak property rights environments. Additionally, there is a notable tension between direct ownership and control rights in these markets. The book's relevance is underscored by the growing importance of emerging markets in the global economy. These markets have contributed significantly to global output and growth, rapidly integrating into global trade and finance networks. Advocating for a dynamic view of corporate governance, the book emphasizes the need for continuous evaluation and adaptation of governance practices. It covers contemporary governance topics such as the role of whistle-blowers, governance challenges in start-ups, governance practices in family firms, and evolving governance regulations in emerging economies. This diverse coverage deepens readers' understanding of developments in governance issues, particularly within emerging economies.