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Asymptotic convergence of the solution of the initial value problem for singularly perturbed higher-order integro-differential equation
Abstract. The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameters at the highest derivatives, provided that the roots of additional characteristic equation have negative signs. An explicit analytical formula of the solution of singularly perturbed Cauchy problem is obtained. …