Norges billigste bøker

Approximation-solvability of Nonlinear Functional and Differential Equations

Om Approximation-solvability of Nonlinear Functional and Differential Equations

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.

Vis mer
  • Språk:
  • Engelsk
  • ISBN:
  • 9780367402570
  • Bindende:
  • Paperback
  • Sider:
  • 392
  • Utgitt:
  • 5. september 2019
  • Dimensjoner:
  • 156x234x0 mm.
  • Vekt:
  • 453 g.
  Gratis frakt
Leveringstid: 2-4 uker
Forventet levering: 20. januar 2025

Beskrivelse av Approximation-solvability of Nonlinear Functional and Differential Equations

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.

Brukervurderinger av Approximation-solvability of Nonlinear Functional and Differential Equations



Finn lignende bøker
Boken Approximation-solvability of Nonlinear Functional and Differential Equations finnes i følgende kategorier:

Gjør som tusenvis av andre bokelskere

Abonner på vårt nyhetsbrev og få rabatter og inspirasjon til din neste leseopplevelse.