Reprint
Nonlinear Functional Analysis and Its Applications
Edited by
April 2021
146 pages
- ISBN978-3-0365-0240-3 (Hardback)
- ISBN978-3-0365-0241-0 (PDF)
This book is a reprint of the Special Issue Nonlinear Functional Analysis and Its Applications that was published in
Computer Science & Mathematics
Engineering
Physical Sciences
Public Health & Healthcare
Summary
This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed point theorem, to Granas' theory of topological transversality, and to some advanced techniques of critical point theory and fixed point theory. Other topics include discontinuous differential equations, new results of metric fixed point theory, robust tracker design problems for various classes of nonlinear systems, and periodic solutions in computer virus propagation models.
Format
- Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
Krasnosel’skiĭ’s fixed point theorem; positive solutions; discontinuous differential equations; differential system; p-Laplacian; choquard equation; nonhomogeneous; nehari method; minimax methods; essential maps; homotopy; selections; PID controller; sliding mode control; hybrid Taguchi real coded DNA algorithm; perturbation estimator; ℳ?-function; ℳ?(λ)-function; τ-function; essential distance (e-distance); e0-metric; Du-Hung’s fixed point theorem; Mizoguchi-Takahashi’s fixed point theorem; Nadler’s fixed point theorem; Banach contraction principle; minimax; multiplicity; global minima; Brouwer fixed point theorem; Hamadard theorem; Poincaré–miranda theorem; nonlinear elliptic problem; Robin boundary condition; gradient dependence; sub-supersolution; positive solution; periodic solutions; positive solutions; SEIR-KS model; computer virus model; n/a