Interval oscillation criteria for a forced second order nonlinear ordinary differential equation

References

• Cassell , J.S. 1981 . The asymptotic behaviour of a class of linear oscillator . Quart. J. Math. , 32 : 287 – 302 .
   Google Scholar
• Coppel , W.A. 1965 . Stability and Asymptotic Behavior of Differential Equations . Heath ,
   Google Scholar
• Ei-Sayed , M.A. 1993 . An oscillation criterion for a forced second linear differential equations . Proc.Amer. Math. Soc , 118 : 813 – 817 .
   Google Scholar
• Kartsatos , A.G. 1972 . Maintenance of oscillations under the effect of a periodic forcing term . Proc. Amer. Math. Soc , 33 : 377 – 383 .
   Google Scholar
• Keener , M.S. 1971 . Solutions of a certain linear nonhomogeneous second order differential equations . Appl.Anal. , 1 : 57 – 63 .
   Google Scholar
• Huang , C.C. 1997 . Oscillation and nonoscillation for second order linear differential equations . J. Math. Anal. Appl , 210 : 712 – 723 .
   Google Scholar
• Leighton , W. 1962 . Comparison theorems for linear differential equations of second order . Proc. Amer. Math. Soc , 13 : 603 – 610 .
   Google Scholar
• Li , W. T. 1998 . Oscillation of certain second-order nonlinear differential equations . J. Math. Anal. Appl , 217 : 1 – 14 .
   Google Scholar
• Rainkin , S.M. 1976 . Oscillation theorems for second order nonhomogeneous linear differential equations . J. Math. Anal. Appl , 53 : 550 – 553 .
   Google Scholar
• Skidmore , A. and Bowers , J.J. 1975 . Oscillatory behaviour of solutions of . Anal. Appl , 49 : 317 – 323 .
   Web of Science ®Google Scholar
• Skidmore , A. and Leighton , W. 1973 . On the equation . J. Math. Anal. Appl , 43 : 46 – 55 .
   Google Scholar
• Teufel , H. 1972 . Forced second order nonlinear oscillations . J. Math. Anal. Appl , 40 : 148 – 152 .
   Google Scholar
• Wong , J.S. 1999 . Oscilllation criteria for a forced second order linear differential equation . J. Math. Anal. Appl. , 231 : 231 – 240 .
   Google Scholar
• Wong , P.J.Y. and Agarwal , R.P. 1996 . Oscillation behavior of solutions of certain second order nonlinear differential equations . J. Math. Anal. Appl , 198 : 337 – 354 .
   Google Scholar