Applications of Nonlinear Analysis

Applications of Nonlinear Analysis edited by Themistocles M. Rassias.

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and cal...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Rassias, Themistocles M. (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Springer Optimization and Its Applications, 134
Springer eBook Collection.
Subjects:
Calculus of variations.
Functional analysis.
Fourier analysis.
Differential equations.
Partial differential equations.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Chapter 01- New applications of γ-quasiconvexity
  • Chapter 02- Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type
  • Chapter 03- On Lagrangian duality in infinite dimension and its applications
  • Chapter 04- Stability analysis of the inverse problem of parameter identification in mixed variational problems
  • Chapter 05- Nonlinear duality in Banach spaces and applications to finance and elasticity
  • Chapter 06- Selective priorities in processing of big data
  • Chapter 07- General inertial Mann algorithms and their convergence analysis for nonexpansive mappings
  • Chapter 08- Reverses of Jensen's integral inequality and applications: a survey of recent results
  • Chapter 09- Ordering structures and their applications
  • Chapter 10- An overview on singular nonlinear elliptic boundary value problems
  • Chapter 11- The Pilgerschritt (Liedl) transform on manifolds
  • Chapter 12- On some mathematical models arising in lubrication theory
  • Chapter 13- On the spectrum of a nonlinear two parameter matrix eigenvalue problem
  • Chapter 14- On the properties of a nonlocal nonlinear Schr¨odinger model and its soliton solutions
  • Chapter 15- Stability of a Cauchy-Jensen additive mapping in various normed spaces
  • Chapter 16- NAN-RN approximately generalized additive functional equations
  • Chapter 17- On the HUR-stability of quadratic functional equations in fuzzy Banach spaces
  • Chapter 18- Asymptotic orbits in Hill's problem when the larger primary is a source of radiation
  • Chapter 19- Computations for minors of Weighing Matrices with application to the growth problem
  • Chapter 20- Robots that do not avoid obstacles
  • Chapter 21- On the exact solution of nonlinear integro-differential equations
  • Chapter 22- Qualitative, approximate and numerical approaches for the solution of nonlinear differential equations
  • Chapter 23- On a Hilbert-type integral inequality in the whole plane
  • Chapter 24- Four conjectures in Nonlinear Analysis
  • Chapter 25- Corelations are more powerful tools than relations
  • Chapter 26- Rational contractions and coupled fixed points
  • Chapter 27- A multiple Hilbert-type integral inequality in the whole space
  • Chapter 28- Generalizations of Metric Spaces: From the Fixed-Point Theory to the Fixed-Circle Theory
  • Chapter 29- Finite-difference modeling of nonlinear phenomena in time-domain electromagnetics: A Review.

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