2019
Том 71
№ 11

All Issues

Analyticity with respect to a parameter of regular solutions of weakly nonlinear singularly perturbed problems

Safonov V. F.

Full text (.pdf)


Abstract

We consider a weakly nonlinear singular perturbed problem with right side independent of time. We show that the regularized asymptotic series obtained by Lomov's method are analytic with respect to the parameter and regularizing variables.

English version (Springer): Ukrainian Mathematical Journal 42 (1990), no. 3, pp 350-354.

Citation Example: Safonov V. F. Analyticity with respect to a parameter of regular solutions of weakly nonlinear singularly perturbed problems // Ukr. Mat. Zh. - 1990. - 42, № 3. - pp. 393-398.

Full text