Nonlinear Functional Analysis and Its Applications
Precup, Radu
Nonlinear Functional Analysis and Its Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (146 p.)
Open Access
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.
Creative Commons
English
books978-3-0365-0241-0 9783036502403 9783036502410
10.3390/books978-3-0365-0241-0 doi
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
Nonlinear Functional Analysis and Its Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (146 p.)
Open Access
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.
Creative Commons
English
books978-3-0365-0241-0 9783036502403 9783036502410
10.3390/books978-3-0365-0241-0 doi
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