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Topological Methods In The Study Of Boundary Value Problems
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Book Synopsis Topological Methods in the Study of Boundary Value Problems by : Pablo Amster
Download or read book Topological Methods in the Study of Boundary Value Problems written by Pablo Amster and published by Springer. This book was released on 2013-11-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook presents representative problems in nonlinear analysis by topological methods. The approach is elementary with simple model equations and applications, allowing students to focus on the application of topological methods.
Book Synopsis Topological Methods in the Study of Boundary Value Problems by : Pablo Amster
Download or read book Topological Methods in the Study of Boundary Value Problems written by Pablo Amster and published by Springer Science & Business Media. This book was released on 2013-10-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader.
Book Synopsis Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems by : Dumitru Motreanu
Download or read book Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topological Methods in Differential Equations and Inclusions by : Andrzej Granas
Download or read book Topological Methods in Differential Equations and Inclusions written by Andrzej Granas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topological Degree Methods in Nonlinear Boundary Value Problems by : J. Mawhin
Download or read book Topological Degree Methods in Nonlinear Boundary Value Problems written by J. Mawhin and published by American Mathematical Soc.. This book was released on 1979 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. This monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.
Book Synopsis Positive Solutions to Indefinite Problems by : Guglielmo Feltrin
Download or read book Positive Solutions to Indefinite Problems written by Guglielmo Feltrin and published by Springer. This book was released on 2018-11-23 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of positive solutions to indefinite problems. The monograph intelligibly provides an extensive overview of topological methods and introduces new ideas and results. Sticking to the one-dimensional setting, the author shows that compelling and substantial research can be obtained and presented in a penetrable way. In particular, the book focuses on second order nonlinear differential equations. It analyzes the Dirichlet, Neumann and periodic boundary value problems associated with the equation and provides existence, nonexistence and multiplicity results for positive solutions. The author proposes a new approach based on topological degree theory that allows him to answer some open questions and solve a conjecture about the dependence of the number of positive solutions on the nodal behaviour of the nonlinear term of the equation. The new technique developed in the book gives, as a byproduct, infinitely many subharmonic solutions and globally defined positive solutions with chaotic behaviour. Furthermore, some future directions for research, open questions and interesting, unexplored topics of investigation are proposed.
Book Synopsis Topological Methods for Ordinary Differential Equations by : Centro internazionale matematico estivo. Session
Download or read book Topological Methods for Ordinary Differential Equations written by Centro internazionale matematico estivo. Session and published by . This book was released on 1993 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Methods in the Theory of ODE Boundary Value Problems by : Cristian Vladimirescu
Download or read book Topological Methods in the Theory of ODE Boundary Value Problems written by Cristian Vladimirescu and published by . This book was released on 2000 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Initial and Boundary Value Problems Via Topological Methods by : Daniel J. O'Regan
Download or read book Initial and Boundary Value Problems Via Topological Methods written by Daniel J. O'Regan and published by . This book was released on 1985 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis a relatively new topological technique, due to A. Granas, called Topological Transversality is used to obtain existence theorems for initial and boundary value problems in a variety of settings. This fixed point result is based on the notions of an essential map and on a priori bounds on solutions.
Book Synopsis Topological Methods for Delay and Ordinary Differential Equations by : Pablo Amster
Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster and published by Springer Nature. This book was released on with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Methods for Asymmetric Boundary Value Problems by : Patrick J. McKenna
Download or read book Topological Methods for Asymmetric Boundary Value Problems written by Patrick J. McKenna and published by . This book was released on 1993 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Degree Methods in Nonlinear Boundary Value Problems by : Jean Mawhin
Download or read book Topological Degree Methods in Nonlinear Boundary Value Problems written by Jean Mawhin and published by . This book was released on 1977 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Methods for Ordinary Differential Equations by : Patrick Fitzpatrick
Download or read book Topological Methods for Ordinary Differential Equations written by Patrick Fitzpatrick and published by C.I.M.E. Foundation Subseries. This book was released on 1993-03-08 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.
Book Synopsis Topological Fixed Point Principles for Boundary Value Problems by : J. Andres
Download or read book Topological Fixed Point Principles for Boundary Value Problems written by J. Andres and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems by : Leszek Gasinski
Download or read book Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems written by Leszek Gasinski and published by CRC Press. This book was released on 2004-07-27 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 fills that gap. It provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems. The authors do not limit their treatment to problems in variational form. They also examine in detail equations driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful tools of modern nonlinear analysis. The presentation includes many recent results, including some that were previously unpublished. Detailed appendices outline the fundamental mathematical tools used in the book, and a rich bibliography forms a guide to the relevant literature. Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of problems.
Book Synopsis Topological Methods For Set-valued Nonlinear Analysis by : Enayet U Tarafdar
Download or read book Topological Methods For Set-valued Nonlinear Analysis written by Enayet U Tarafdar and published by World Scientific. This book was released on 2008-02-22 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Book Synopsis Topological Methods for Set-valued Nonlinear Analysis by : Enayet Ullah Tarafdar
Download or read book Topological Methods for Set-valued Nonlinear Analysis written by Enayet Ullah Tarafdar and published by World Scientific. This book was released on 2008 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the authors'' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems. Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings. Sample Chapter(s). Chapter 1: Introduction (162 KB). Contents: Contraction Mappings; Some Fixed Point Theorems in Partial Ordered Sets; Topological Fixed Point Theorems; Variational and Quasivariational Inequalities in Topological Vector Spaces and Generalized Games; Best Approximation and Fixed Point Theorems for Set-Valued Mappings in Topological Vector Spaces; Degree Theory for Set-Valued Mappings; Nonexpansive Types of Mappings and Fixed Point Theorems in Locally Convex Topological Vector Spaces. Readership: Graduate students and researchers in mathematics, economics, finance and engineering.
