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Abstract
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Abstract. In this paper, a special approximate method is presented to
solve system of ordinary differential equations. In this method, the given
problem is first converted into an integral equation that includes Volterra and
Fredholm parts. Then special successive approximation method are performed
in Volterra part. Due to the appearance of the factorial factor in the denominator of its kernel, the Volterra part tends to zero in the next iterations. This
causes us to discard Volterra’s sentence as an error of method . Finally, the
analytical-approximate solution of the problem is obtained by solving the resulting equation, which is the second type of
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