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Keywords

first order nonlinear differential equations
periodic solutions
Lebesgue integrable

Abstract

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for a system of first order nonlinear differential equations by assuming that each of the functions are measurable at t and bounded by Lebesgue integrable functions. The numerical-analytic method has been used to study the periodic solutions of ordinary differential equations which were introduced by A. M. Samoilenko.
https://doi.org/10.33899/edusj.2008.51296
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