Nonlinear Functional Analysis and Its Applications

doi:10.3390/books978-3-0365-0241-0

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https://mdpi.com/books/pdfview/book/3589

Contributor(s)

Precup, Radu (editor)

Language

English

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Abstract

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.

URI

https://directory.doabooks.org/handle/20.500.12854/68568

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; SEIR-KS model; computer virus model; n/a