2017
Том 69
№ 6

All Issues

Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point

Evtukhov V. M., Samoilenko A. M.

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Abstract

We establish conditions for the existence of solutions vanishing at a singular point for various classes of systems of quasilinear differential equations appearing in the investigation of the asymptotic behavior of solutions of essentially nonlinear nonautonomous differential equations of higher orders.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 1, pp 56-86.

Citation Example: Evtukhov V. M., Samoilenko A. M. Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point // Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 52 - 80.

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