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Strengthening of the Kneser theorem on zeros of solutions of the equation u″ + q(t)u = 0 using one functional equation

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Ukrainian Mathematical Journal Aims and scope

We present conditions under which a linear homogeneous second-order equation is nonoscillatory on a semiaxis and conditions under which its solutions have infinitely many zeros.

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Authors and Affiliations

  1. National University of Water Management and Nature Resources Use, Rivne, Ukraine

    V. Yu. Slyusarchuk

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  1. V. Yu. Slyusarchuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 12, pp. 1705–1714, December, 2010.

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Slyusarchuk, V.Y. Strengthening of the Kneser theorem on zeros of solutions of the equation u″ + q(t)u = 0 using one functional equation. Ukr Math J 62, 1978–1988 (2011). https://doi.org/10.1007/s11253-011-0483-2

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  • DOI: https://doi.org/10.1007/s11253-011-0483-2

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