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Mathematical Analysis and Applications


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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

1st Edition

Leszek Gasinski, Nikolaos S. Papageorgiou
October 23, 2019

Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances.This book ...

Set Valued Mappings with Applications in Nonlinear Analysis

Set Valued Mappings with Applications in Nonlinear Analysis

1st Edition

Donal O'Regan, Ravi P. Agarwal
October 10, 2019

Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as biology, control theory and optimization, economics, game theory, and physics. Set Valued Mappings with Applications to Nonlinear Analysis ...

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

1st Edition

V. Lakshmikantham, S. Koksal
September 11, 2019

A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a ...

Topological Degree Theory and Applications

Topological Degree Theory and Applications

1st Edition

Yeol Je Cho, Yu-Qing Chen
September 05, 2019

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on ...

Nonlinear Analysis

Nonlinear Analysis

1st Edition

Leszek Gasinski, Nikolaos S. Papageorgiou
July 27, 2005

Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from ...

Theory of Fuzzy Differential Equations and Inclusions

Theory of Fuzzy Differential Equations and Inclusions

1st Edition

V. Lakshmikantham, Ram N. Mohapatra
March 20, 2003

Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy ...

Oscillation Theory for Second Order Dynamic Equations

Oscillation Theory for Second Order Dynamic Equations

1st Edition

Ravi P. Agarwal, Said R. Grace, Donal O'Regan
November 21, 2002

The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, the Oscillation Theory of ordinary, functional, neutral, partial and impulsive differential equations, and their discrete versions, has inspired many scholars. Hundreds of research papers ...

Integral and Integrodifferential Equations

Integral and Integrodifferential Equations

1st Edition

Ravi P. Agarwal, Donal O'Regan
March 09, 2000

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur ...

Method of Variation of Parameters for Dynamic Systems

Method of Variation of Parameters for Dynamic Systems

1st Edition

V. Lakshmikantham, S G Deo
July 28, 1998

Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods. No other attempt has been made to bring all the...

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