Hyers-Ulam types stability of nonlinear summation equations with delay

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