2019
Том 71
№ 11

All Issues

Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem

Mel'nik T. A.

Full text (.pdf)


Abstract

We construct the asymptotic expansion of a solution of the Cauchy problem for a singularly perturbed system of differential equations whose right-hand side is discontinuous on a certain surface. We consider the case where the surface of discontinuity is crossed and estimate the remainder of the constructed asymptotic expansion.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 11, pp 1660-1666.

Citation Example: Mel'nik T. A. Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem // Ukr. Mat. Zh. - 1994. - 46, № 11. - pp. 1502–1508.

Full text