Topological Methods in the Study of Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods in the Study of Boundary Value Problems write by Pablo Amster. This book was released on 2013-10-23. Topological Methods in the Study of Boundary Value Problems available in PDF, EPUB and Kindle. 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.
Topological Methods in the Study of Boundary Value Problems
Topological Methods in the Study of Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods in the Study of Boundary Value Problems write by Pablo Amster. This book was released on 2013-11-30. Topological Methods in the Study of Boundary Value Problems available in PDF, EPUB and Kindle. 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.
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems write by Dumitru Motreanu. This book was released on 2013-11-19. Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems available in PDF, EPUB and Kindle. 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.
Topological Methods For Set-valued Nonlinear Analysis
Topological Methods For Set-valued Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods For Set-valued Nonlinear Analysis write by Enayet U Tarafdar. This book was released on 2008-02-22. Topological Methods For Set-valued Nonlinear Analysis available in PDF, EPUB and Kindle. 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.
Order Structure and Topological Methods in Nonlinear Partial Differential Equations
Order Structure and Topological Methods in Nonlinear Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Order Structure and Topological Methods in Nonlinear Partial Differential Equations write by Yihong Du. This book was released on 2006. Order Structure and Topological Methods in Nonlinear Partial Differential Equations available in PDF, EPUB and Kindle. The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
