Approximation-solvability of Nonlinear Functional and Differential Equations (ePub)
(Sprache: Englisch)
This reference/text develops a constructive theory of solvability on linear and nonlinear abstract and differential equations - involving A-proper operator equations in separable Banach spaces, and treats the problem of existence of a solution for equations...
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This reference/text develops a constructive theory of solvability on linear and nonlinear abstract and differential equations - involving A-proper operator equations in separable Banach spaces, and treats the problem of existence of a solution for equations involving pseudo-A-proper and weakly-A-proper mappings, and illustrates their applications.;Facilitating the understanding of the solvability of equations in infinite dimensional Banach space through finite dimensional appoximations, this book: offers an elementary introductions to the general theory of A-proper and pseudo-A-proper maps; develops the linear theory of A-proper maps; furnishes the best possible results for linear equations; establishes the existence of fixed points and eigenvalues for P-gamma-compact maps, including classical results; provides surjectivity theorems for pseudo-A-proper and weakly-A-proper mappings that unify and extend earlier results on monotone and accretive mappings; shows how Friedrichs' linear extension theory can be generalized to the extensions of densely defined nonlinear operators in a Hilbert space; presents the generalized topological degree theory for A-proper mappings; and applies abstract results to boundary value problems and to bifurcation and asymptotic bifurcation problems.;There are also over 900 display equations, and an appendix that contains basic theorems from real function theory and measure/integration theory.
Autoren-Porträt von Wolodymyr V. Petryshyn
Petryshyn, Wolodymyr V.
Bibliographische Angaben
- Autor: Wolodymyr V. Petryshyn
- 2017, 392 Seiten, Englisch
- Verlag: Taylor & Francis
- ISBN-10: 1351465708
- ISBN-13: 9781351465700
- Erscheinungsdatum: 22.11.2017
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- Dateiformat: ePub
- Größe: 7.48 MB
- Mit Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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