Nonlinear Functional Analysis and Applications
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Beschreibung
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.
Autor*in
Jesús Garcia-Falset
Themen in »Nonlinear Functional Analysis and Applications«
Nichtlineare Funktionalanalysis Banach Räume Metrische Fixpunkttheorie Nichtlineare Randwertprobleme Topologische Fixpunkttheorie Nonlinear functional analysis fixed point theory Banach spaces partial differential equations nonlinear boundary value problems metric fixed point theory topological fixed point theory