Nonlinear Functional Analysis and Applications / / Jesús Garcia-Falset, Khalid Latrach.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Garcia-Falset, Jesús,; Latrach, Khalid,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 41
• Physical Description: 1 online resource (XVI, 450 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1 Fundamentals of functional analysis --; 2 A short introduction to semigroups of linear operators --; 3 Accretive operators in Banach spaces --; 4 Abstract Cauchy problem --; 5 Solvability of nonlinear evolution equations --; 6 Metric fixed point theorems --; 7 Topological fixed point theorems --; 8 Solvability of nonlinear boundary value problems --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783111031811; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 0941-813X
• DOI: 10.1515/9783111031811
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Jesús Garcia-Falset, Khalid Latrach.

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.