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.
General
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