| Approximation-solvability of Nonlinear Functional and Differential Equations Contributor(s): Petryshyn, Wolodymyr V. (Author) |
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ISBN: 0824787935 ISBN-13: 9780824787936 Publisher: CRC Press OUR PRICE: $275.50 Product Type: Hardcover - Other Formats Published: December 1992 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Functional Analysis - Mathematics | Applied |
| Dewey: 515.7 |
| LCCN: 92036577 |
| Series: Chapman & Hall/CRC Pure and Applied Mathematics |
| Physical Information: 0.9" H x 6.28" W x 9.18" (1.47 lbs) 392 pages |