2017
Том 69
№ 9

All Issues

Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations

Evtukhov V. M., Koz'ma A. A.

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Abstract

We establish existence theorems and asymptotic representations for some classes of solutions of second-order differential equations whose right-hand sides contain nonlinearities of a more general form than nonlinearities of the Emden - Fowler type.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 7, pp 1065-1082.

Citation Example: Evtukhov V. M., Koz'ma A. A. Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations // Ukr. Mat. Zh. - 2011. - 63, № 7. - pp. 924-938.

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