2017
Том 69
№ 6

All Issues

Method of accelerated convergence for the construction of solutions of a Noetherian boundary-value problem

Boichuk A. A., Chuiko S. M.

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Abstract

We study the problem of finding conditions for the existence of solutions of weakly nonlinear Noetherian boundary-value problems for systems of ordinary differential equations and the construction of these solutions. A new iterative procedure with accelerated convergence is proposed for the construction of solutions of a weakly nonlinear Noetherian boundary-value problem for a system of ordinary differential equations in the critical case.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 12, pp 1861-1877.

Citation Example: Boichuk A. A., Chuiko S. M. Method of accelerated convergence for the construction of solutions of a Noetherian boundary-value problem // Ukr. Mat. Zh. - 2008. - 60, № 12. - pp. 1587–1601.

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