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Asymptotic representations of one class of solutions of essentially nonlinear differential equations of the second order

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Nonlinear Oscillations

Abstract

We find asymptotic representations for solutions of second-order differential equations whose right-hand sides contain a sum of terms with nonlinearities of more general form than nonlinearities of the Emden-Fowler type.

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Translated from Neliniini Kolyvannya, Vol. 9, No. 4, pp. 490–501, October–December, 2006.

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Koz’ma, A.A. Asymptotic representations of one class of solutions of essentially nonlinear differential equations of the second order. Nonlinear Oscill 9, 478–489 (2006). https://doi.org/10.1007/s11072-006-0056-8

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  • DOI: https://doi.org/10.1007/s11072-006-0056-8

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