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| Author | : Patrick J. McKenna |
| Publisher | : |
| Total Pages | : 154 |
| Release | : 1993 |
| Genre | : Boundary value problems |
| ISBN | : |
| Author | : Pablo Amster |
| Publisher | : Springer |
| Total Pages | : 244 |
| Release | : 2013-11-30 |
| Genre | : |
| ISBN | : 9781461488941 |
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.
| Author | : Centro internazionale matematico estivo. Session |
| Publisher | : |
| Total Pages | : 218 |
| Release | : 1993 |
| Genre | : |
| ISBN | : |
| Author | : J. Mawhin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 130 |
| Release | : 1979 |
| Genre | : Mathematics |
| ISBN | : 082181690X |
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 | : Patrick Fitzpatrick |
| Publisher | : C.I.M.E. Foundation Subseries |
| Total Pages | : 236 |
| Release | : 1993-03-08 |
| Genre | : Mathematics |
| ISBN | : |
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 | : Patrick Furi Massimo Fitzpatrick |
| Publisher | : |
| Total Pages | : 228 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662167113 |
| Author | : Enayet Ullah Tarafdar |
| Publisher | : World Scientific |
| Total Pages | : 627 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9812791469 |
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.
| Author | : Cristian Vladimirescu |
| Publisher | : |
| Total Pages | : 10 |
| Release | : 2000 |
| Genre | : |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 420 |
| Release | : 2000 |
| Genre | : Nonlinear functional analysis |
| ISBN | : |
| Author | : Daniel J. O'Regan |
| Publisher | : |
| Total Pages | : 202 |
| Release | : 1985 |
| Genre | : Topology |
| ISBN | : |
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.
