To investigate asymptotic stability for non-linear functional integral differential equations

Author(s)	Dr. Siddharth Dnyaneshwar Sarkate
Country	India
Abstract	In this paper, we provide certain requirements for several non-linear functional integro-differential equations for asymptotic stability. We use a fixed point theorem of Darbo to demonstrate the existence and local asymptotic stability of solutions for a quadratic functional integral problem. Our analysis is predicated on the successful creation of appropriate characterizations of measures of non-compactness. The studies are applied to real functions that are characterized as continuous and bounded on an unbounded interval in the Banach space. To illustrate the paper's abstract results' natural realizations, an example is provided. This paper's findings are novel, comprehensive, and better than those reported in the literature.
Keywords	non-linear, integro-differential equations, asymptotic stability.
Field	Mathematics
Published In	Volume 2, Issue 1, January-February 2021
Published On	2021-02-08

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