Differentiable Operators and Nonlinear Equations

ISBN-13: 9783764329297 / Angielski / Twarda / 1993 / 284 str.

Victor Khatskevich; David Shoiykhet

Opis

Bridges the gap between nonlinear analysis, nonlinear operator equations and the theory of holomorphic mappings on Banach spaces. This book concludes with a brief exposition of the theory of spaces with indefinite metrics, and some relevant applications of the holomorphic mappings theory in this setting.

Spis treści

0: Preliminaries.- I: Differential calculus in normed spaces.- II: Integration in normed spaces.- III: Holomorphic (analytic) operators and vector-functions on complex Banach spaces.- Capter IV: Linear operators.- V: Nonlinear equations with differentiable operators.- VI: Nonlinear equations with holomorphic operators.- VII: Banach manifolds.- VIII: Non-regular solutions of nonlinear equations.- IX: Operators on spaces with indefinite metric.- References.- List of Symbols.