Approximation-Solvability of Nonlinear Functional and Differential Equations
By (author) Wolodymyr V. Petryshyn
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Approximation-Solvability of Nonlinear Functional and Differential Equations by Wolodymyr V. Petryshyn
Book DescriptionThis 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.
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Book DetailsISBN: 9780824787936
(279mm x 216mm x 22mm)
Imprint: Marcel Dekker Inc
Publisher: Taylor & Francis Inc
Publish Date: 16-Dec-1992
Country of Publication: United States
Books By Author Wolodymyr V. Petryshyn
Generalized Topological Degree and Semilinear Equations, Hardback (September 1995)» View all books by Wolodymyr V. Petryshyn
Presents new results and applications of the theory to nonlinear ODEs and PDEs.
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