Nonlinear Functional Analysis and Applications
Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, October 12-14, 1970
Published on 10. May 2014
594 pages
978-1-4832-7244-3 (ISBN)
Description
Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.
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Louis B. Rall
Nonlinear Functional Analysis and Applications
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12/1971
Academic Press
€52.62
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Content
PrefaceSome Applications of Functional Analysis to Analysis, Particularly to Nonlinear Integral EquationsThe Differentiation and Integration of Nonlinear OperatorsDifferentiability and Related Properties of Nonlinear Operators: Some Aspects of the Role of Differentials in Nonlinear Functional AnalysisGeneralized Inverses, Normal Solvability, and Iteration for Singular Operator EquationsOn Polynomial Operators and EquationsApplications and Methods for the Minimization of FunctionalsToward a Unified Convergence Theory for Newton-Like MethodsOperator Solutions of Nonlinear Equations in Optimal Control ProblemsComplementary Variational PrinciplesIndex
