TY - JOUR ID - Grigorian2016 LB - Grigorian2016 AU - Grigorian, Gevorg Avagovich TI - On one oscillatory criterion for the second order linear ordinary differential equations ST - On one oscillatory criterion for the second order linear ordinary differential equations JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2016 VL - 36 IS - 5 SP - 589 EP - 601 DO - http://dx.doi.org/10.7494/OpMath.2016.36.5.589 UR - http://dx.doi.org/10.7494/OpMath.2016.36.5.589 AB - 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. KW - Riccati equation KW - normal and extremal solutions KW - integral and interval oscillatory criteria KW - the generalized Hill's equation SN - 1232-9274 ER -