Approximation-solvability of Nonlinear Functional and Differential Equations (Pure & Applied Mathematics, Band 171) - Hardcover

Petryshyn, Wolodymyr V.

 
9780824787936: Approximation-solvability of Nonlinear Functional and Differential Equations (Pure & Applied Mathematics, Band 171)
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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Petryshyn\, Wolodymyr V.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
CRC Press
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
0824787935
ISBN 13 
9780824787936
Einband
Gebundene Ausgabe
Anzahl der Seiten
392
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
GPSR Kontakt
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Deutschland

Weitere beliebte Ausgaben desselben Titels

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

Vorgestellte Ausgabe

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