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

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Ukrainian Mathematical Journal Aims and scope

We establish necessary and sufficient conditions for the existence of solutions of the second-order differential equations whose right-hand sides contain the sums of terms with nonlinearities of a more general type than the Emden–Fowler-type nonlinearities and obtain asymptotic representations for some classes of these solutions.

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References

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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    V. M. Evtukhov

  2. Odessa State Economics University, Odessa, Ukraine

    A. A. Koz’ma

Authors
  1. V. M. Evtukhov
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  2. A. A. Koz’ma
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 7, pp. 924–938, July, 2011.

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Evtukhov, V.M., Koz’ma, A.A. Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations. Ukr Math J 63, 1065–1082 (2011). https://doi.org/10.1007/s11253-011-0564-2

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  • DOI: https://doi.org/10.1007/s11253-011-0564-2

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