rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Applications of Nonlinear Analysis
  name:
    name part: Rassias, Themistocles M.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 931 p. 72 illus. online resource.
  abstract: 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 calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill'sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.
  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 …
  note: edited by Themistocles M. Rassias.
  subject:
    topic: Calculus of variations
  subject:
    topic: Functional analysis
  subject:
    topic: Fourier analysis
  subject:
    topic: Differential equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Functional Analysis
  subject:
    topic: Fourier Analysis
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Partial Differential Equations
  classification: QA315-316
  classification: QA402.3
  classification: 515.64
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Optimization and Its Applications, 134
  identifier: 9783319898155
  identifier: https://doi.org/10.1007/978-3-319-89815-5
  record info:
    record creation date: 180629
    record change date: 20191220130829.0
    record identifier: 978-3-319-89815-5