2017
Том 69
№ 9

All Issues

Generalization of the Kneser theorem on zeros of solutions of the equation $y" + p (t) y = 0$

Slyusarchuk V. Yu.

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Abstract

We obtain conditions of the oscillation of solutions of the equation $y" + p(t)Ay = 0$ in the Banach space, where $A$ is a bounded linear operator and $p : R_+ \rightarrow R_+$ is a continuous function.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 4, pp 639-644.

Citation Example: Slyusarchuk V. Yu. Generalization of the Kneser theorem on zeros of solutions of the equation $y" + p (t) y = 0$ // Ukr. Mat. Zh. - 2007. - 59, № 4. - pp. 571–576.

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