• Title of article

    Hyers-Ulam types stability of nonlinear summation equations with delay

  • Author/Authors

    Riaz, Usman Department of Mathematics -University of Peshawar, Pakistan , Zada, Akbar Department of Mathematics - University of Peshawar, Pakistan

  • Pages
    10
  • From page
    317
  • To page
    326
  • Abstract
    In this typescript, we study the existence and uniqueness for a class of nonlinear summation equation with delay. Furthermore, we present Hyers–Ulam stability(HUS), generalized Hyers–Ulam stability(GHUS), Hyers–Ulam–Rassias stability(HURS) and generalized Hyers–Ulam–Rassias stability(GHURS) of the mentioned equation by utilizing discrete Gr¨onwall lemma. We finalized our manuscript through examples to help our primary outcomes.
  • Keywords
    Hyers–Ulam Stability , Nonlinear Summation Equations , Summation Inequality of Gronwall type
  • Journal title
    International Journal of Nonlinear Analysis and Applications
  • Serial Year
    2021
  • Record number

    2701595

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2701595