Hyers-Ulam types stability of nonlinear summation equations with delay

	Hyers-Ulam types stability of nonlinear summation equations with delay
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 317-326 اصل مقاله (369.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.18218.1995
نویسندگان
Usman Riaz^* ؛ Akbar Zada
Department of Mathematics, University of Peshawar, 25000, Pakistan
چکیده
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.
کلیدواژه‌ها
Hyers–Ulam Stability؛ Nonlinear Summation Equations؛ Summation Inequality of Gronwall type
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