Oscillation of Even-Order Neutral Delay Differential Equations

By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and . These oscillation criteria, at least in some sense, complement and improve those of Zafer (1998) and Zhang et al. (2010). An example is considered to illustrate the main results.

[1]  Yonghui Xia,et al.  A Note on the Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations 1 , 2008 .

[2]  Y. Sahiner,et al.  On oscillation of second order neutral type delay differential equations , 2004, Appl. Math. Comput..

[3]  Fanwei Meng,et al.  Oscillation criteria for certain even order quasi-linear neutral differential equations with deviating arguments , 2007, Appl. Math. Comput..

[4]  Fanwei Meng,et al.  New Kamenev-type oscillation criteria for second order neutral nonlinear differential equations , 2007, Appl. Math. Comput..

[5]  J. Hale.  Theory of Functional Differential Equations , 1977 .

[6]  Philos-type oscillation criteria for Emden-Fowler neutral delay differential equations , 2007 .

[7]  Zhenlai Han,et al.  Remarks on the paper [Appl. Math. Comput. 207 (2009) 388-396] , 2010, Appl. Math. Comput..

[8]  Said R. Grace,et al.  Oscillation theorems for nonlinear differential equations of second order , 1992 .

[9]  Zhiting Xu,et al.  Oscillation criteria for second order quasilinear neutral delay differential equations , 2009, Appl. Math. Comput..

[10]  R. Agarwal,et al.  Oscillation theorems for certain neutral functional differential equations , 1999 .

[11]  Fanwei Meng,et al.  Some new oscillation criteria for second order quasi-linear neutral delay differential equations , 2006, Appl. Math. Comput..

[12]  Radhanath N. Rath,et al.  Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation , 2007 .

[13]  Lihua Liu,et al.  New oscillation criteria for second-order nonlinear neutral delay differential equations , 2009, J. Comput. Appl. Math..

[14]  Fanwei Meng,et al.  Oscillation criteria for second order quasi-linear neutral delay differential equations , 2007, Appl. Math. Comput..

[15]  Jozef Dzurina,et al.  Oscillation criteria for second-order delay differential equations , 2003, Appl. Math. Comput..

[16]  Li Gao,et al.  Oscillation behavior of even-order nonlinear neutral differential equations with variable coefficients , 2010, Comput. Math. Appl..

[17]  Jelena V. Manojlovic,et al.  Oscillation criteria for a class of second-order neutral delay differential equations , 2009, Appl. Math. Comput..

[18]  Yuan Gong Sun,et al.  Note on the paper of Džurina and Stavroulakis , 2006, Appl. Math. Comput..

[19]  Xiaoyan Lin,et al.  Oscillation of solutions of neutral differential equations with a superlinear neutral term , 2007, Appl. Math. Lett..

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

[21]  J. Džurina,et al.  Oscillation of second order neutral delay differential equations , 2009 .