topological fixed point principles for boundary value problems topological fixed point theory and its applications

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Topological Fixed Point Principles For Boundary Value Problems

Author : J. Andres
ISBN : 9789401704076
Genre : Mathematics
File Size : 74. 77 MB
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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.

Topological Fixed Point Theory Of Multivalued Mappings

Author : Lech Górniewicz
ISBN : 9781402046667
Genre : Mathematics
File Size : 53. 87 MB
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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.

Handbook Of Differential Equations Ordinary Differential Equations

Author : A. Canada
ISBN : 0080463819
Genre : Mathematics
File Size : 55. 65 MB
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This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. Covers a variety of problems in ordinary differential equations Pure mathematical and real world applications Written for mathematicians and scientists of many related fields

Method Of Guiding Functions In Problems Of Nonlinear Analysis

Author : Valeri Obukhovskii
ISBN : 9783642370700
Genre : Mathematics
File Size : 41. 13 MB
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This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.

Handbook Of Topological Fixed Point Theory

Author : Robert F. Brown
ISBN : 1402032218
Genre : Mathematics
File Size : 90. 16 MB
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This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.

Fixed Point Theory For Decomposable Sets

Author : Andrzej Fryszkowski
ISBN : 9781402024993
Genre : Mathematics
File Size : 89. 79 MB
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Decomposable sets since T. R. Rockafellar in 1968 are one of basic notions in nonlinear analysis, especially in the theory of multifunctions. A subset K of measurable functions is called decomposable if (Q) for all and measurable A. This book attempts to show the present stage of "decomposable analysis" from the point of view of fixed point theory. The book is split into three parts, beginning with the background of functional analysis, proceeding to the theory of multifunctions and lastly, the decomposability property. Mathematicians and students working in functional, convex and nonlinear analysis, differential inclusions and optimal control should find this book of interest. A good background in fixed point theory is assumed as is a background in topology.

Studia Universitatis Babe Bolyai

Author :
ISBN : UOM:39015058993976
Genre : Mathematics
File Size : 63. 91 MB
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Fixed Points Of Multivalued Weighted Maps

Author : Robert Skiba
ISBN : STANFORD:36105123914389
Genre : Mathematics
File Size : 90. 74 MB
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Topological Methods In Nonlinear Analysis

Author :
ISBN : UOM:39015072608105
Genre : Topology
File Size : 86. 59 MB
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Topological And Variational Methods With Applications To Nonlinear Boundary Value Problems

Author : Dumitru Motreanu
ISBN : 9781461493235
Genre : Mathematics
File Size : 46. 32 MB
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This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

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