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Asymptotic Formulas for the Solutions of Integro-Differential Equations

Authors:

Affiliation:

(1) Departamento de Matemáticas, Universidad De Orjente, Cumaná, 6101-A Apartado 245, Venezuela E-mail;(2) Departamento de Matemáticas, Universidad Simón Bolívar, Caracas, Apartado, 89000, Venezuela E-mail

Abstract:

We study the problem of asymptotic integration of the linear integro-differential equation

$x^{(n)} (t) + a_{n - 1} (t)x^{(n - 1)} (t) + ... + a_0 (t)x(t) = int_0^t {K(t,s)x(s)ds}$

, and the achievement of an asymptotic formula for the solutions of the equation

$x^{(n)} (t) + a_{n - 1} (t)x^{(n - 1)} (t) + ... + a_0 (t)x(t) = int_0^t {K(t,s)x(s)ds} + f(t)$

Keywords:

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