Opuscula Math. 36, no. 5 (2016), 589-601
On one oscillatory criterion for the second order linear ordinary differential equations
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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- Communicated by Alexander Gomilko.
- Received: 2016-02-02.
- Revised: 2016-05-04.
- Accepted: 2016-05-05.
- Published online: 2016-06-29.