Nonlinear functional analysis and applications.

Format:

Book

Author/Creator:

Garcia-Falset, Jesús.

Contributor:

Latrach, Khalid.

Series:

De Gruyter Series in Nonlinear Analysis and Applications

De Gruyter Series in Nonlinear Analysis and Applications ; v.41

Language:

English

Subjects (All):

Nonlinear functional analysis.

Physical Description:

1 online resource (466 pages)

Edition:

1st ed.

Place of Publication:

Berlin/Boston : Walter de Gruyter GmbH, 2023.

Summary:

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.

Contents:

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

Notes:

Description based on publisher supplied metadata and other sources.

Current Copyright Fee: GBP25.00 0.

ISBN:

9783111031811

3111031810

OCLC:

1370011000