Nonlinear Functional Analysis and Its Applications

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Banach contraction principle; Brouwer fixed point theorem; choquard equation; computer virus model; differential system; discontinuous differential equations; Du-Hung’s fixed point theorem; e0-metric; essential distance (e-distance); essential maps; global minima; gradient dependence; Hamadard theorem; homotopy; hybrid Taguchi real coded DNA algorithm; Krasnosel’skiĭ’s fixed point theorem; Mathematics and Science; minimax; minimax methods; Mizoguchi-Takahashi’s fixed point theorem; multiplicity; n/a; Nadler’s fixed point theorem; nehari method; nonhomogeneous; nonlinear elliptic problem; p-Laplacian; periodic solutions; perturbation estimator; PID controller; Poincaré–miranda theorem; positive solution; positive solutions; Reference, Information and Interdisciplinary subjects; Research and information: general; Robin boundary condition; SEIR-KS model; selections; sliding mode control; sub-supersolution; τ-function; ℳ?(λ)-function; ℳ?-function
• ISBN: 3036502408; 9783036502410; 3036502416; 9783036502403
• DOI: 10.3390/books978-3-0365-0241-0

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.