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Hyers-Ulam types stability of nonlinear summation equations with delay

Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:

JR_IJNAA-12-2_025

Index date: 2 December 2022

Hyers-Ulam types stability of nonlinear summation equations with delay 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.

Hyers-Ulam types stability of nonlinear summation equations with delay Keywords:

Hyers , Ulam Stability , Nonlinear Summation Equations , Summation Inequality of Gronwall type

Hyers-Ulam types stability of nonlinear summation equations with delay authors

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Department of Mathematics, University of Peshawar, ۲۵۰۰۰, Pakistan

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Department of Mathematics, University of Peshawar, ۲۵۰۰۰, Pakistan