Oscillation criteria of second order neutral delay dynamic equations with distributed deviating arguments

In this paper we establish some oscillation theorems for second order neutral dynamic equations with distributed deviating arguments. We use the Riccati transformation technique to obtain sufficient conditions for the oscillation of all solutions. Further, some examples are provided to illustrate the results.

[1]  S. Hilger.  Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus , 1990 .

[2]  Wan-Tong Li,et al.  Nonoscillation and Oscillation Theory for Functional Differential Equations , 2004 .

[3]  Samir H. Saker,et al.  Oscillation criteria for second-order nonlinear delay dynamic equations , 2007 .

[4]  A. Peterson,et al.  Dynamic Equations on Time Scales: An Introduction with Applications , 2001 .

[5]  Jianchu Jiang.  Oscillation of second order nonlinear neutral delay difference equations , 2003, Appl. Math. Comput..

[6]  A. Peterson,et al.  Advances in Dynamic Equations on Time Scales , 2012 .

[7]  Ravi P. Agarwal,et al.  Dynamic equations on time scales: a survey , 2002 .

[8]  Mugen Huang,et al.  Oscillation for forced second-order nonlinear dynamic equations on time scales. , 2006 .

[9]  Ravi P. Agarwal,et al.  Oscillation Theory for Second Order Dynamic Equations , 2002 .

[10]  Y. Şahı˙ner,et al.  Oscillation of second-order delay differential equations on time scales , 2005 .

[11]  Fanwei Meng,et al.  Oscillation criteria for second-order neutral equations with distributed deviating argument , 2008, Appl. Math. Comput..

[12]  Ravi P. Agarwal,et al.  Oscillation theorems for second-order nonlinear neutral delay dynamic equations on time scales , 2008 .

[13]  Hong-Wu Wu,et al.  Oscillation criteria for second-order nonlinear neutral variable delay dynamic equations , 2006, Appl. Math. Comput..

[14]  Samir H. Saker,et al.  Oscillation of second-order nonlinear neutral delay dynamic equations on time scales , 2006 .

[15]  A. Peterson,et al.  Dynamic Equations on Time Scales , 2001 .