Nonlinear Functional Analysis and Its Applications

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 transv...

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Bibliographic Details
Other Authors: Precup, Radu (Editor)
Format: Book Chapter
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
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Description
Summary: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.
Physical Description:1 electronic resource (146 p.)
ISBN:books978-3-0365-0241-0
9783036502403
9783036502410
Access:Open Access

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