Generalized Solutions of Operator Equations and Extreme Elements: 55 (Springer Optimization and Its Applications, 55) - Hardcover

Klyushin, D.A.; Lyashko, S.I.; Nomirovskii, D.A.; Petunin, Yu.I.; Semenov, Vladimir

Hardcover

ISBN 10: 1461406188 ISBN 13: 9781461406181

Publisher: Springer, 2011

Synopsis

Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.

About this title

From the Back Cover

The abstract models for many problems in science and engineering take the form of an operator equation; the resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. Generalized Solutions of Operator Equations and Extreme Elements presents a general functional analytic approach to solving operator equations in a general form. This unique and valuable monograph presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The results are clearly and thoroughly presented and offer new methods of identifying these solutions and studying their properties. These methods are based on a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations.

This volume is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control. Prerequisites include knowledge of basic functional analysis.

Edition details

• Publisher: Springer
• Publication date: 2011
• Language: English
• ISBN 10: 1461406188
• ISBN 13: 9781461406181
• Binding: Hardcover
• Number of pages: 224