Some stability theorems for systems of volterra integral equations

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Abstract
Many types of stability have been studied in the theory of ordinary differential equations, Our present purpose is to study perturbed Volterra integral equations (which are a generalization of the initial value problem for ordinary differential equations). As a natural generalization of these concepts for ordinary differential equations, we define stability, uniform stability, and asymptotic stability for integral equations and prove various theorems for linear and perturbed integral equations

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