Oscillatory criteria for the second order linear ordinary differential equations-Reference-Cited by-同舟云学术

Oscillatory criteria for the second order linear ordinary differential equations

Published:2019-07-19 Issue:4 Volume:69 Page:857-870
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Grigorian Gevorg A.¹

Affiliation:

1. Institute of Mathematics NAS of Armenia , str. M. Bagramian 24/5, 0019 c. , Yerevan , Armenia

Abstract

Abstract The Riccati equation method is used to establish three new oscillatory criteria for the second order linear ordinary differential equations. We show that the first of these criteria in the continuous case of the coefficient function (potential) of the equation implies the J. Deng’s oscillatory criterion. An extremal oscillatory condition for the Mathieu’s equation is obtained. The obtained results are compared with some known oscillatory criteria.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0274/pdf

Reference13 articles.

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4. Grigorian, G. A.: Properties of Solutions of Riccati Equation, J. Contemp. Math. Anal. 42(4) (2007), 184–197.

5. Grigorian, G. A.: On the stability of systems of two first-order linear ordinary differential equations, Differ. Equ. 51(3) (2015), #110.

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