OSCILLATION CRITERIA OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

In this paper, we consider a certain class of third order nonlinear delay differential equations. By m eans of th e Riccati transformation techniques we estab lish some new criteria and also Kamenev-type criteria which insure that every solution oscillates or converges to zero. Some examples are considered to illustrate our main results.

[1]  D. Bainov,et al.  Oscillation Theory for Neutral Differential Equations with Delay , 1991 .

[2]  N. Parhi,et al.  Asymptotic property of solutions of a class of third-order differential equations , 1990 .

[3]  P. Das,et al.  Oscillation and nonoscillation of nonhomogeneous third order differential equations , 1994 .

[4]  N. Parhi,et al.  Oscillation criteria for a class of nonlinear differential equations of third order , 1992 .

[5]  Ju Rang Yan,et al.  Oscillation theorems for second order linear differential equations with damping , 1986 .

[6]  Anton Škerlík,et al.  Integral criteria of oscillation for a third order linear differential equation , 1995 .

[7]  V. Lakshmikantham,et al.  Oscillation Theory of Differential Equations With Deviating Arguments , 1987 .

[8]  Said R. Grace,et al.  Oscillation theorems for second order nonlinear functional differential equations with damping , 1993 .

[9]  George Seifert,et al.  Oscillation Theory of Delay Differential Equations (I. Györi and G. Ladas); Oscillation Theory for Neutral Differential Equations with Delay (D. D. Bainov and D. P. Mishev) , 1993, SIAM Rev..

[10]  G. Ladas,et al.  Oscillation Theory of Delay Differential Equations: With Applications , 1992 .

[11]  I. V. Kamenev,et al.  An integral criterion for oscillation of linear differential equations of second order , 1978 .

[12]  C. Philos,et al.  Oscillation theorems for linear differential equations of second order , 1989 .

[13]  Anton Škerlík An integral condition of oscillation for equation $y^{\prime \prime \prime }+p(t)y^{\prime }+q(t)y=0$ with nonnegative coefficients , 1995 .

[14]  J. Yan A NOTE ON AN OSCILLATION CRITERION FOR AN EQUATION WITH DAMPED TERM , 1984 .