Some Applications Of The Topological Degree Theory To Multi Valued Boundary Value Problems

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Topological Degree Theory And Applications

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Author : Yeol Je Cho
language : en
Publisher: CRC Press
Release Date : 2006-03-27

Topological Degree Theory And Applications written by Yeol Je Cho and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-27 with Mathematics categories.

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 topological degree theory in normed spaces and its ap

Topological Fixed Point Theory Of Multivalued Mappings

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Author : Lech Górniewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-03

Topological Fixed Point Theory Of Multivalued Mappings written by Lech Górniewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-03 with Mathematics categories.

This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Current results are presented.

Topological Degree Approach To Bifurcation Problems

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Author : Michal Fečkan
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-29

Topological Degree Approach To Bifurcation Problems written by Michal Fečkan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-29 with Mathematics categories.

1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di?erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to ?nd a complete dynamics of a nonlinear di?erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory. The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di?erential eq- tions on in?nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di?erential equations. 1.

Handbook Of Multivalued Analysis

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Author : Shouchuan Hu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Handbook Of Multivalued Analysis written by Shouchuan Hu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.

Topological Fixed Point Theory And Applications

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Author : Boju Jiang
language : en
Publisher: Springer
Release Date : 2006-11-14

Topological Fixed Point Theory And Applications written by Boju Jiang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems.

Some Applications Of The Topological Degree Theory To Multi Valued Boundary Value Problems

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Author : Tadeusz Pruszko
language : en
Publisher:
Release Date : 1984

Some Applications Of The Topological Degree Theory To Multi Valued Boundary Value Problems written by Tadeusz Pruszko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Boundary value problems categories.

Topological And Approximation Methods Of Degree Theory Of Set Valued Maps

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Author : Wojciech Kryszewski
language : en
Publisher:
Release Date : 1994

Topological And Approximation Methods Of Degree Theory Of Set Valued Maps written by Wojciech Kryszewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Approximation theory categories.

Topological Methods In Differential Equations And Inclusions

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Author : Andrzej Granas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topological Methods In Differential Equations And Inclusions written by Andrzej Granas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.

Canadian Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1992-10

Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10 with categories.

Topological Fixed Point Principles For Boundary Value Problems

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Author : J. Andres
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Topological Fixed Point Principles For Boundary Value Problems written by J. Andres and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters.