Approximation-solvability of Nonlinear Functional and Differential Equations

Wolodymyr V. Petryshyn (Autor)

Buch | Softcover

392 Seiten

2019
CRC Press (Verlag)
978-0-367-40257-0 (ISBN)

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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.

Petryshyn, Wolodymyr V.

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.

Erscheinungsdatum	01.10.2019
Reihe/Serie	Chapman & Hall/CRC Pure and Applied Mathematics
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-367-40257-2 / 0367402572
ISBN-13	978-0-367-40257-0 / 9780367402570
Zustand	Neuware