Topological Methods In The Theory Of Ode Boundary Value Problems PDF Download
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Author | : Patrick Fitzpatrick |
Publisher | : Springer |
Total Pages | : 223 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 354047563X |
Download Topological Methods for Ordinary Differential Equations Book in PDF, ePub and Kindle
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.
Author | : Centro internazionale matematico estivo. Session |
Publisher | : |
Total Pages | : 218 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Topological Methods for Ordinary Differential Equations Book in PDF, ePub and Kindle
Author | : Cristian Vladimirescu |
Publisher | : |
Total Pages | : 10 |
Release | : 2000 |
Genre | : |
ISBN | : |
Download Topological Methods in the Theory of ODE Boundary Value Problems Book in PDF, ePub and Kindle
Author | : Pablo Amster |
Publisher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2013-10-23 |
Genre | : Mathematics |
ISBN | : 1461488931 |
Download Topological Methods in the Study of Boundary Value Problems Book 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.
Author | : J. Mawhin |
Publisher | : American Mathematical Soc. |
Total Pages | : 130 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : 082181690X |
Download Topological Degree Methods in Nonlinear Boundary Value Problems Book in PDF, ePub and Kindle
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.
Author | : J. Andres |
Publisher | : Springer Science & Business Media |
Total Pages | : 771 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401704074 |
Download Topological Fixed Point Principles for Boundary Value Problems Book in PDF, ePub and Kindle
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.
Author | : Marston Morse |
Publisher | : Princeton University Press |
Total Pages | : 156 |
Release | : 1948-01-20 |
Genre | : Mathematics |
ISBN | : 9780691095028 |
Download Topological Methods in the Theory of Functions of a Complex Variable Book in PDF, ePub and Kindle
A classic treatment of topological methods in the theory of functions of a complex variable from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author | : F. Zanolin |
Publisher | : Springer |
Total Pages | : 214 |
Release | : 2014-05-04 |
Genre | : Technology & Engineering |
ISBN | : 3709126800 |
Download Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations Book in PDF, ePub and Kindle
The area covered by this volume represents a broad choice of some interesting research topics in the field of dynamical systems and applications of nonlinear analysis to ordinary and partial differential equations. The contributed papers, written by well known specialists, make this volume a useful tool both for the experts (who can find recent and new results) and for those who are interested in starting a research work in one of these topics (who can find some updated and carefully presented papers on the state of the art of the corresponding subject).
Author | : Patrick J. McKenna |
Publisher | : |
Total Pages | : 154 |
Release | : 1993 |
Genre | : Boundary value problems |
ISBN | : |
Download Topological Methods for Asymmetric Boundary Value Problems Book in PDF, ePub and Kindle
Author | : Herbert B. Keller |
Publisher | : SIAM |
Total Pages | : 69 |
Release | : 1976-01-01 |
Genre | : Mathematics |
ISBN | : 9781611970449 |
Download Numerical Solution of Two Point Boundary Value Problems Book in PDF, ePub and Kindle
Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.