Approximation-solvability Of Nonlinear Functional And Differential Equations by Wolodymyr V. PetryshynApproximation-solvability Of Nonlinear Functional And Differential Equations by Wolodymyr V. Petryshyn

Approximation-solvability Of Nonlinear Functional And Differential Equations

byWolodymyr V. Petryshyn

Hardcover | December 16, 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.
Title:Approximation-solvability Of Nonlinear Functional And Differential EquationsFormat:HardcoverDimensions:392 pages, 9.18 × 6.28 × 0.9 inPublished:December 16, 1992Publisher:Taylor and Francis

The following ISBNs are associated with this title:

ISBN - 10:0824787935

ISBN - 13:9780824787936

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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.