2019
Том 71
№ 11

All Issues

A. M. Samoilenko's numerical-analytic method without determining equation

Kovalenko O. V., Trofimchuk E. P.

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Abstract

We suggest a modification of A. M. Samoilenko's numerical-analytic method for investigating the problem $dx/dt=f(t,x), \mathfrak{L}(x) = d$ (here $\mathfrak{L}(x): C([0, T], R^n) \rightarrow R^n$ is a linear continuous operator} in which it is not necessary to solve an additional determining equation.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 1, pp 163–166.

Citation Example: Kovalenko O. V., Trofimchuk E. P. A. M. Samoilenko's numerical-analytic method without determining equation // Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 138-140.

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