| Approximation-Solvability of Nonlinear Functional and Differential Equations Contributor(s): Petryshyn, Wolodymyr V. (Author) |
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ISBN: 0367402572 ISBN-13: 9780367402570 Publisher: CRC Press OUR PRICE: $75.95 Product Type: Paperback - Other Formats Published: September 2019 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Functional Analysis - Mathematics | Applied |
| Dewey: 515.7 |
| Series: Pure and Applied Mathematics (M. Dekker) |
| Physical Information: 1" H x 6.1" W x 9.1" (1.25 lbs) 392 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |