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Behavior of the solutions of a real second-order differential equation, not solved with respect to the leading derivative

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Literature cited

  1. V. P. Rudakov, “The existence and uniqueness of the solution of first-order differential equations, partially solved with respect to derivatives,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 9, 79–84 (1971).

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  2. P. F. Fil'chakov, “The constructions of integrals of differential equations, which are not solved with respect to the leading derivative,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 606–611 (1969).

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  3. F. Hartman, Ordinary Differential Equations [Russian translation], Mir, Moscow (1970).

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Authors and Affiliations

  1. Institute of Structural Engineering, Odessa

    L. G. Prosenyuk & S. A. Yatsenko

Authors
  1. L. G. Prosenyuk
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  2. S. A. Yatsenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 519–524, July–August, 1983.

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Prosenyuk, L.G., Yatsenko, S.A. Behavior of the solutions of a real second-order differential equation, not solved with respect to the leading derivative. Ukr Math J 35, 439–443 (1983). https://doi.org/10.1007/BF01093100

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  • DOI: https://doi.org/10.1007/BF01093100

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