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Approximation-solvability of Nonlinear Functional and Differential Equations

By Petryshyn, Wolodymyr V.

Approximation-solvability of Nonlinear Functional and Differential Equations Mathematics

Approximation-solvability of Nonlinear Functional and Differential Equations

By Petryshyn, Wolodymyr V.

0 - Default Title
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
392
Release Date:
2019-09-27
Publication Date:
2019-09-05
Publisher:
CRC Press
Languages:
Original: English
ISBN10:
0367402572
ISBN13:
9780367402570
GPSR Manufacturer Reference:
[email protected]
Weight:
594 g
Height:
156 cm
Width:
234 cm
Thickness:
21 cm
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