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: Dichotomies and stability in nonautonomous linear systems
  title info:
    title: MATHnetBASE
  name:
    name part: Mitropolsky, Yu., A.
    name part: 1917-2008
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Kulik, V. L. (Viktor Leonidovich)
    role:
      role term: author.
  name:
    name part: Samoĭlenko, A. M. (Anatoliĭ Mikhaĭlovich)
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: Taylor and Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2014
    copyright date: 2002
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (400 pages).
  abstract: Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov functions with variable sign, expressed in quadratic forms, to the solution of this problem. The authors explore the preservation of invariant tori of dynamic systems under perturbation. This volume is a classic contribution to the literature on stability theory and provides a useful source of reference for postgraduates and researchers.
  table of contents: chapter 1 Exponentially Dichotomous Linear Systems of Differential Equations and Lyapunov Functions of Variable Sign -- chapter 2 Linear Extension of Dynamical Systems on a Torus -- chapter 3 Splittability of Linear Extensions of Dynamical Systems on a Torus -- chapter 4 Problems of Perturbation Theory of Smooth Invariant Tori of Dynamical Systems.
  note: by Yu. A. Mitropolsky, A.M. Samoilenko and V.L. Kulik.
  subject:
    topic: MATHEMATICS / Applied
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differential equations, Linear
  subject:
    topic: Stability
  classification: QA614.8
  classification: 515/.354
  related item:
    title info:
      title: Stability and control: theory, methods and applications
  identifier: 9781482264890
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: FlBoTFG
    record creation date: 180611
    record change date: 20220613175850.4
    record identifier: in00004581335