Approximation-solvability of Nonlinear Functional and Differential Equations Paperback / softback
by Wolodymyr V. Petryshyn
Part of the Chapman & Hall/CRC Pure and Applied Mathematics series
Paperback / softback
- Information
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.
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:392 pages
- Publisher:Taylor & Francis Ltd
- Publication Date:05/09/2019
- Category:
- ISBN:9780367402570
Other Formats
- EPUB from £48.59
- PDF from £48.59
- Hardback from £199.71
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:392 pages
- Publisher:Taylor & Francis Ltd
- Publication Date:05/09/2019
- Category:
- ISBN:9780367402570