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
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
