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

Approximation-solvability of Nonlinear Functional and Differential Equations

Pure and Applied Mathematics (M. Dekker)


Published: 16th December 1992
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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.

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780824787936
ISBN-10: 0824787935
Series: Pure and Applied Mathematics (M. Dekker)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 392
Published: 16th December 1992
Country of Publication: US
Dimensions (cm): 23.32 x 15.95  x 2.29
Weight (kg): 0.67
Edition Number: 1