Approximation-solvability of Nonlinear Functional and Differential Equations

Author:   Wolodymyr V. Petryshyn ,  Zuhair Nashed (University of Central Florida, Orlando, USA) ,  Earl Taft
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367402570


Pages:   392
Publication Date:   05 September 2019
Format:   Paperback
Availability:   In Print   Availability explained
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Approximation-solvability of Nonlinear Functional and Differential Equations


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Overview

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.

Full Product Details

Author:   Wolodymyr V. Petryshyn ,  Zuhair Nashed (University of Central Florida, Orlando, USA) ,  Earl Taft
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9780367402570


ISBN 10:   0367402572
Pages:   392
Publication Date:   05 September 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Solvability of equations involving A-proper and pseudo-A-proper mappings; equations involving linear A-proper mappings; fixed points and surjectivity theorems for P-gamma-compact and A-proper-type maps; generalized degree for A-proper mappings and applications; solvability of PDEs and ODEs and bifurcation problems.

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Petryshyn, Wolodymyr V.

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