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: Stability and periodic solutions of ordinary and functional differential equations
  name:
    name part: Burton, T. A. (Theodore Allen)
    name part: 1935-
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    place:
      place term: Orlando
    publisher: Academic Press
    date issued: 1985
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 337 pages) : illustrations
  abstract: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank.
  table of contents: Front Cover; Stability and Periodic Solutions of Ordinary and Functional Differential Equations; Copyright Page; Contents; Preface; Chapter 0 An Overview; 0.1 Survey of Chapter 1; 0.2 Survey of Chapter 2; 0.3 Survey of Chapter 3; 0.4 Survey of Chapter 4; Chapter 1 Linear Differential and Integrodifferential Equations; 1.0 The General Setting; 1.1 Linear Ordinary Differential Equations; 1.2 Periodic Solutions of Linear Differential Equations; 1.3 Linear Volterra Equations; 1.4 Periodic Solutions of Convolution Equations; 1.5 Periodic Solutions of Nonconvolution Equations.
  table of contents: 1.6 Stability and BoundednessChapter 2 History, Motivation, Examples; 2.1 Classical Second-Order Equations; 2.2 Problems with a Delay; 2.3 Biology, Economics, and Epidemics; 2.4 Sources of Models; Chapter 3 Fixed-Point Theory; 3.1 Compactnes in Metric Spaces; 3.2 Contraction Mappings; 3.3 Existence Theorems for Linear Equations; 3.4 Schauder's Fixed-Point Theorem; 3.5 Existence Theorems for Nonlinear Equations; Chapter 4 Limit Sets, Periodicity, and Stability; 4.1 Ordinary Differential Equations; 4.2 Equations with Bounded Delays; 4.3 Volterra Equations with Infinite Delay.
  table of contents: 4.4 Stability of Systems with Unbounded DelaysReferences; Author Index; Subject Index.
  note: T.A. Burton.
  note: Includes bibliographical references (pages 325-331).
  note: English.
  subject:
    topic: Differential equations
    topic: Numerical solutions
  subject:
    topic: Functional differential equations
    topic: Numerical solutions
  subject:
    topic: Équations différentielles
    topic: Solutions numériques
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
    topic: General
  subject:
    topic: Differential equations
    topic: Numerical solutions
  subject:
    topic: Functional differential equations
    topic: Numerical solutions
  subject:
    topic: Differentialgleichung
  subject:
    topic: Periodische Differentialgleichung
  subject:
    topic: Stabilität
  subject:
    topic: Équations différentielles
  subject:
    topic: Équations différentielles fonctionnelles
  classification: QA372 .B885 1985eb
  classification: 515.3/5
  related item:
    title info:
      title: Stability and periodic solutions of ordinary and functional differential equations
    name:
      name part: Burton, T.A. (Theodore Allen), 1935-
    origin info:
      publisher: Orlando : Academic Press, 1985
    identifier: (DLC) 85007403
    identifier: (OCoLC)11971834
  related item:
    title info:
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  identifier: 85007403
  identifier: 1093215:10878051 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 101101
    record change date: 20260326183836.7
    record identifier: in00005746206
    language of cataloging:
      language term: eng