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Approximation-solvability of Nonlinear Functional and Differential Equations

Approximation-solvability of Nonlinear Functional and Differential Equations

Approximation-solvability of Nonlinear Functional and Differential Equations
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Approximation-solvability of Nonlinear Functional and Differential Equations Hardback - 1992

by Nashed, Zuhair (Series edited by)/ Taft, Earl (Series edited by)/ Petryshyn, Wolodymyr V. (Author)

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Marcel Dekker Inc, 1992. Hardcover. New. 1st edition. 392 pages. 9.75x6.50x1.00 inches.
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Details

  • Title Approximation-solvability of Nonlinear Functional and Differential Equations
  • Author Nashed, Zuhair (Series edited by)/ Taft, Earl (Series edited by)/ Petryshyn, Wolodymyr V. (Author)
  • Binding Hardback
  • Edition U. S. EDITION
  • Condition New
  • Pages 392
  • Volumes 1
  • Language ENG
  • Publisher Marcel Dekker Inc, New York
  • Publication date 1992
  • Features Bibliography, Index, Maps
  • Bookseller's Inventory # x-0824787935
  • ISBN 9780824787936 / 0824787935
  • Weight 1.47 lbs (0.67 kg)
  • Dimensions 9.18 x 6.28 x 0.9 in (23.32 x 15.95 x 2.29 cm)
  • Category Mathematics
  • Library of Congress subjects Topological degree, Mappings (Mathematics)
  • Library of Congress Catalogue Number 92036577
  • Dewey Decimal Code 515.7
  • Quantity available 2

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From the publisher

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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