Format:
1 Online-Ressource (XV, 447 Seiten)
ISBN:
9783111031811
,
9783111032085
Series Statement:
De Gruyter Series in Nonlinear Analysis and Applications 41
Content:
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
Note:
Literaturverzeichnis: Seite 431-439
,
In English
Additional Edition:
ISBN 9783111030968
Additional Edition:
Erscheint auch als Druck-Ausgabe Garcia-Falset, Jesús Nonlinear functional analysis and applications Berlin : de Gruyter, 2023 ISBN 9783111030968
Additional Edition:
ISBN 3111030962
Language:
English
Subjects:
Mathematics
Keywords:
Nichtlineare Funktionalanalysis
;
Operatorhalbgruppe
;
Kontraktionsoperator
;
Cauchy-Anfangswertproblem
;
Nichtlineare Evolutionsgleichung
;
Fixpunktsatz
;
Nichtlineares Randwertproblem
DOI:
10.1515/9783111031811
