Ulam Stabilities via Pachpatte's Inequality for Volterra-Fredholm Delay Integrodifferential Equations in Banach Spaces


Abstract


In this paper, we will investigate Ulam-Hyers and Ulam-Hyers-Rassias stabilities of nonlinear Volterra-Fredholm delay integrodifferential equations in Banach spaces. Pachpatte's inequality and its extended version are utilized to obtain these stabilities. Examples are given in support of the results we obtained.

DOI Code: 10.1285/i15900932v38n1p67

Keywords: Volterra-Fredholm Integrodifferential Equations; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Integral inequality

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