Opuscula Math. 36, no. 5 (2016), 589-601
http://dx.doi.org/10.7494/OpMath.2016.36.5.589

 
Opuscula Mathematica

On one oscillatory criterion for the second order linear ordinary differential equations

Gevorg Avagovich Grigorian

Abstract. The Riccati equation method is used to establish an oscillatory criterion for second order linear ordinary differential equations. An oscillatory condition is obtained for the generalized Hill's equation. By means of examples the obtained result are compared with some known oscillatory criteria.

Keywords: Riccati equation, normal and extremal solutions, integral and interval oscillatory criteria, the generalized Hill's equation.

Mathematics Subject Classification: 34C10.

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  • Gevorg Avagovich Grigorian
  • Institute of Mathematics, NAS of Armenia, 0019 Erevan, str. M. Bagramian 24/5, Armenia
  • Communicated by Alexander Gomilko.
  • Received: 2016-02-02.
  • Revised: 2016-05-04.
  • Accepted: 2016-05-05.
  • Published online: 2016-06-29.
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Cite this article as:
Gevorg Avagovich Grigorian, On one oscillatory criterion for the second order linear ordinary differential equations, Opuscula Math. 36, no. 5 (2016), 589-601, http://dx.doi.org/10.7494/OpMath.2016.36.5.589

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