Mathematical Analysis and Applications
Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
1st Edition
By 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
1st Edition
By 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
1st Edition
By 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
1st Edition
By 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
1st Edition
By 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 ...
Oscillation Theory for Second Order Dynamic Equations
1st Edition
By 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
1st Edition
Edited
By 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 ...