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

• Datum: 2007
• Hauptverfasser: Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3332
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.