Nonlinear functional analysis and applications
著者
書誌事項
Nonlinear functional analysis and applications
（De Gruyter series in nonlinear analysis and applications, 41）
De Gruyter, 2023
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc. This work is devoted, in a self-contained way, to several subjects of this topic such as theory of accretive operators in Banach spaces, theory of abstract Cauchy problem, metric and topological fixed point theory. Special emphasis is given to the study how these theories can be used to obtain existence and uniqueness of solutions for several types of evolution and stationary equations. In particular, equations arising in dynamical population and neutron transport equations are discussed.
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