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

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.

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Bibliographic Details
Date:2007
Main Authors: Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3332
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal