Generalized Solutions of Operator Equations and Extreme Elements

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Calculus
Cover of the book Generalized Solutions of Operator Equations and Extreme Elements by D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, Vladimir Semenov, Springer New York
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Author: D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, Vladimir Semenov ISBN: 9781461406198
Publisher: Springer New York Publication: October 5, 2011
Imprint: Springer Language: English
Author: D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, Vladimir Semenov
ISBN: 9781461406198
Publisher: Springer New York
Publication: October 5, 2011
Imprint: Springer
Language: English

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.

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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.

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