Nonlinear Functional Analysis and Its Applications

• Other Authors: Precup, Radu (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Research & information: general; Mathematics & science; 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; SEIR-KS model; computer virus model; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

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 transv...