Nonlinear Functional Analysis and Applications

Jesús Garcia-Falset · Khalid Latrach

2023년 3월 · De Gruyter Series in Nonlinear Analysis and Applications 41권 · Walter de Gruyter GmbH & Co KG

eBook 정보

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.

저자 정보

Jesús Garcia-Falset, University of Valencia, ES; Khalid Latrach, Université Clermont Auvergne, FR.