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arXiv · 1807.04943

Oscillatory criteria for the second order linear functional - differential equations with locally integrable coefficients

Gevorg Avagovich Grigorian
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Abstract

The Riccati equation method is used to establish some oscillatory criteria for the second order linear functional - differential equations of multiple terms with locally integrable coefficients. An interval oscillation criterion for the second order linear functional - differential equations is proved. We have obtained a generalization of an oscillation theorem of L. Berezanski and E. Braverman, a generalization of the well known Fite's oscillation criterion and a new global solvability criterion for the second order linear functional - differential equations with advanced and retarded arguments.

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Gevorg Avagovich Grigorian. 2018-07-13. Oscillatory criteria for the second order linear functional - differential equations with locally integrable coefficients. https://arxiv.org/abs/1807.04943

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