Approximation-solvability of Nonlinear Functional and Differential Equations: 171 (Chapman & Hall/CRC Pure and Applied Mathematics) - Hardcover

Petryshyn, Wolodymyr V.

 
9780824787936: Approximation-solvability of Nonlinear Functional and Differential Equations: 171 (Chapman & Hall/CRC Pure and Applied Mathematics)
Hardcover
ISBN 10: 0824787935 ISBN 13: 9780824787936
Verlag: CRC Press, 1992

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Petryshyn\, Wolodymyr V.

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Verlag
CRC Press
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
0824787935
ISBN 13 
9780824787936
Einband
Tapa dura
Auflage
1
Anzahl der Seiten
392
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9780367402570: Approximation-solvability of Nonlinear Functional and Differential Equations: 171 (Chapman & Hall/CRC Pure and Applied Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0367402572 ISBN 13:  9780367402570
Verlag: CRC Press, 2019
Softcover