Truncation method for countable-point boundary-value problems in the space of bounded number sequences
We consider possible methods for the reduction of a countable-point nonlinear boundary-value problem with nonlinear boundary condition on a segment to a finite-dimensional multipoint problem constructed on the basis of the original problem by the truncation method. The results obtained are illustrated by examples.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 9, pp 1429-1462.
Citation Example: Nedokis V. A., Samoilenko A. M., Teplinsky Yu. V. Truncation method for countable-point boundary-value problems in the space of bounded number sequences // Ukr. Mat. Zh. - 2004. - 56, № 9. - pp. 1203-1230.