2017
Том 69
№ 9

All Issues

Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy

Yakovets V. P.

Full text (.pdf)


Abstract

By using the perturbation methods and Newton diagrams, we study the structure and construct the asymptotics of the general solution to a linear singularly perturbed system of ordinary second-order differential equations in the case where the matrix by the higher derivative is degenerate.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 609-624.

Citation Example: Yakovets V. P. Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 561–575.

Full text