Approximation-solvability of Nonlinear Functional and Differential Equations (Pure and Applied Mathematics (M. Dekker))

Petryshyn, Wolodymyr V.

ISBN 10: 0367402572 / ISBN 13: 9780367402570

Published by Routledge, 2019

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Bibliographic Details

• Title: Approximation-solvability of Nonlinear Functional and Differential Equations (Pure and Applied Mathematics (M. Dekker))
• Publisher: Routledge
• Publication Date: 2019
• Language: English
• ISBN 10: 0367402572
• ISBN 13: 9780367402570
• Binding: Paperback
• Condition: New
• Book Type: book

About this title

Synopsis

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.

About the Author

Petryshyn, Wolodymyr V.