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: State-Dependent Impulses
    sub title: Boundary Value Problems on Compact Interval
  name:
    name part: Rachůnková, Irena.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Tomeček, Jan.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: fr
    date issued: 2015
    edition: 1st ed. 2015.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 190 p. 7 illus. online resource.
  abstract: This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value problems both regular and singular and deals with higher order differential equations or with systems that are subject to general linear boundary conditions. We treat state-dependent impulsive boundary value problems, including a new approach giving effective conditions for the solvability of the Dirichlet problem with one state-dependent impulse condition and we show that the depicted approach can be extended to problems with a finite number of state-dependent impulses. We investigate the Sturm–Liouville boundary value problem for a more general right-hand side of a differential equation. Finally, we offer generalizations to higher order differential equations or differential systems subject to general linear boundary conditions.
  table of contents: Introduction -- Second Order Problem with Nonlinear Boundary Conditions -- Dirichlet Problem with Time Singularities -- Dirichlet Problem with Space Singularities -- Systems of Differential Equations and Higher-Order Differential Equations with General Linear Boundary Conditions -- Dirichlet Problem with One Impulse Condition -- Dirichlet Problem via Lower and Upper Functions -- Sturm-Liouville Problem -- Higher Order Equation with General Linear Boundary Conditions -- First Order System with Linear Boundary Conditions.
  note: by Irena Rachůnková, Jan Tomeček.
  subject:
    topic: Mathematics
  subject:
    topic: Differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Ordinary Differential Equations
  classification: QA372
  classification: 515.352
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Atlantis Briefs in Differential Equations, 6
  identifier: 9789462391277
  identifier: http://dx.doi.org/10.2991/978-94-6239-127-7
  record info:
    record creation date: 150929
    record change date: 20151030041251.0
    record identifier: 978-94-6239-127-7