Approximation-solvability of Nonlinear Functional and Differential Equations

Nashed, Zuhair (Series edited by)/ Taft, Earl (Series edited by)/ Petryshyn, Wolodymyr V. (Author)

ISBN 10: 0824787935 / ISBN 13: 9780824787936

Published by Marcel Dekker Inc, 1992

About this Item

1st edition. 392 pages. 9.75x6.50x1.00 inches. In Stock.

Seller Inventory # x-0824787935

Bibliographic Details

• Title: Approximation-solvability of Nonlinear Functional and Differential Equations
• Publisher: Marcel Dekker Inc
• Publication Date: 1992
• Language: English
• ISBN 10: 0824787935
• ISBN 13: 9780824787936
• Binding: Hardcover
• Condition: Brand New

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.