Nonlinear Functional Analysis and Its Applications

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,...

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Sprog:engelsk
Udgivet: MDPI - Multidisciplinary Digital Publishing Institute 2021
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collection Directory of Open Access Books
description 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 Online
id doab-20.500.12854ir-68568
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-685682024-03-28T03:32:20Z Nonlinear Functional Analysis and Its Applications Precup, Radu 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:14:54Z 2021-05-01T15:14:54Z 2021 book ONIX_20210501_9783036502403_314 9783036502403 9783036502410 https://directory.doabooks.org/handle/20.500.12854/68568 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3589 https://mdpi.com/books/pdfview/book/3589 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0241-0 10.3390/books978-3-0365-0241-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036502403 9783036502410 146 Basel, Switzerland open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Nonlinear Functional Analysis and Its Applications
title Nonlinear Functional Analysis and Its Applications
title_full Nonlinear Functional Analysis and Its Applications
title_fullStr Nonlinear Functional Analysis and Its Applications
title_full_unstemmed Nonlinear Functional Analysis and Its Applications
title_short Nonlinear Functional Analysis and Its Applications
title_sort nonlinear functional analysis and its applications
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20210501_9783036502403_314