Abstract
We establish conditions for the oscillation of solutions of the equation y″ + p(t)Ay = 0 in a Banach space, where A is a bounded linear operator and p: ℝ+ → ℝ+ is a continuous function.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 571–576, April, 2007.
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Slyusarchuk, V.Y. Generalization of the Kneser theorem on zeros of solutions of the equation y″ + p(t)y = 0. Ukr Math J 59, 639–644 (2007). https://doi.org/10.1007/s11253-007-0043-y
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DOI: https://doi.org/10.1007/s11253-007-0043-y