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A sufficient condition for the oscillation of solutions of a high-order differential equation

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Abstract

A counterexample is constructed for an oscillation theorem due to Anan'eva and Balaganskii.

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Literature cited

  1. G. V. Anan'eva and V. I. Balaganskii, “The oscillation of solutions of certain high-order differential equations,” Uspekhi Matem. Nauk,14, No. 1, 135–140 (1959).

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  2. I. V. Kamenev, “The oscillation and boundedness of the solution of a second-order nonlinear equation whose right side is multiplicatively separable,” Diff. Uravneniya,4, No. 5, 845–849 (1968).

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  3. H. Howard, “Oscillation criteria for even-order differential equations,” Ann. Mat. Pura ed Appl.,66, 221–231 (1964).

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  4. I. V. Kamenev, “The oscillation of solutions of high-order nonlinear equations,” Trudy Mosk. In-ta Élektronnogo Mashinostroeniya, No. 5 (1969).

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Authors and Affiliations

  1. Moscow Machine-Design Institute, USSR

    I. V. Kamenev

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  1. I. V. Kamenev
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Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 421–423, April, 1971.

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Kamenev, I.V. A sufficient condition for the oscillation of solutions of a high-order differential equation. Mathematical Notes of the Academy of Sciences of the USSR 9, 243–244 (1971). https://doi.org/10.1007/BF01387773

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  • DOI: https://doi.org/10.1007/BF01387773

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