• Title of article

    Boundary value problem for abstract first order differential equation with integral condition

  • Author/Authors

    M. Denche، نويسنده , , A. Berkane، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2007
  • Pages
    10
  • From page
    657
  • To page
    666
  • Abstract
    The present paper is devoted to the study of a boundary value problem for abstract first order linear differential equation with integral boundary conditions. We obtain necessary and sufficient conditions for the unique solvability and well-posedness. We also study the Fredholm solvability. Finally, we obtain a result of the stability of solution with respect to small perturbation. © 2006 Elsevier Inc. All rights reserved.
  • Keywords
    fredholm property , Abstract differential equation , Well-posed problem , C0-semigroup , Integral condition
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2007
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    936012

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=936012