Short communications

On oscillation of two terms linear differential equation with alternating potential

L. K. Kussainova

Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan

Abstract: Two terms high order linear differential equation are studied. For the case when potential alternats in any neighborhood of infinity, oscillation and nonoscillation conditions formulated in unified terms are obtained.

Keywords and phrases: ordinary differential equation, operators generated by differential expressions, oscillatory properties of differential equations.

MSC: 34C10

Received: 10.07.2012

Language: English

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