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Mathematical Analysis and Applications

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1-10 of 10 results in Mathematical Analysis and Applications
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  1. Topological Degree Theory and Applications

    By Yeol Je Cho, Yu-Qing Chen

    Series: Mathematical Analysis and Applications

    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...

    Published March 26th 2006 by Chapman and Hall/CRC

  2. Nonlinear Analysis

    By Leszek Gasinski, Nikolaos S. Papageorgiou

    Series: Mathematical Analysis and Applications

    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...

    Published July 26th 2005 by Chapman and Hall/CRC

  3. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

    By Leszek Gasinski, Nikolaos S. Papageorgiou

    Series: Mathematical Analysis and Applications

    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...

    Published July 26th 2004 by Chapman and Hall/CRC

  4. Theory of Fuzzy Differential Equations and Inclusions

    By V. Lakshmikantham, Ram N. Mohapatra

    Series: Mathematical Analysis and Applications

    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...

    Published March 19th 2003 by CRC Press

  5. Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

    By V. Lakshmikantham, S. Koksal

    Series: Mathematical Analysis and Applications

    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...

    Published February 26th 2003 by CRC Press

  6. Oscillation Theory for Second Order Dynamic Equations

    By Ravi P. Agarwal, Said R. Grace, Donal O'Regan

    Series: Mathematical Analysis and Applications

    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...

    Published November 20th 2002 by CRC Press

  7. Theorems of Leray-Schauder Type And Applications

    By Radu Precup

    Series: Mathematical Analysis and Applications

    This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also...

    Published October 23rd 2002 by CRC Press

  8. Set Valued Mappings with Applications in Nonlinear Analysis

    By Donal O'Regan, Ravi P. Agarwal

    Series: Mathematical Analysis and Applications

    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...

    Published September 25th 2002 by CRC Press

  9. Integral and Integrodifferential Equations

    Edited by Ravi P. Agarwal, Donal O'Regan

    Series: Mathematical Analysis and Applications

    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...

    Published March 8th 2000 by CRC Press

  10. Method of Variation of Parameters for Dynamic Systems

    By V. Lakshmikantham, S G Deo

    Series: Mathematical Analysis and Applications

    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...

    Published July 27th 1998 by CRC Press

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