Opuscula Mathematica
Opuscula Math. 36, no. 5 (), 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


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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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