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Nonlinear Functional Analysis and Applications
Hardcover
Series: de Gruyter Nonlinear Analysis and Applications, Book 41
ISBN13: 9783111030968
Publisher: De Gruyter
Published: Mar 6 2023
Pages: 466
Weight: 2.06
Height: 1.00 Width: 6.69 Depth: 9.61
Language: English
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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