Oscillation criteria for nonlinear functional neutral dynamic equations on time scales

This paper is concerned with the oscillation of the second-order nonlinear functional dynamic equations on a time scale where γ is the quotient of odd positive integers, r(t), p(t), and are positive rd-continuous functions on , , and . We establish some new sufficient conditions for oscillation for the above equation. Several examples illustrating our results will be given.

[1]  R. Jackson.  Inequalities , 2007, Algebra for Parents.

[2]  Ravi P. Agarwal,et al.  Oscillation criteria for second-order nonlinear neutral delay dynamic equations , 2004 .

[3]  Zhenlai Han,et al.  Oscillation criteria of second-order nonlinear delay dynamic equations on time scales , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[4]  Samir H. Saker,et al.  Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales , 2003 .

[5]  Taher S. Hassan,et al.  Oscillation criteria for half-linear dynamic equations on time scales , 2008 .

[6]  Y. Sahiner,et al.  Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales , 2006 .

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

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

[9]  Samir H. Saker,et al.  Oscillation Criteria for Sublinear Half-Linear Delay Dynamic Equations , 2009 .

[10]  Heba A. Hassan,et al.  Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales , 2011 .

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

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

[13]  Samir H. Saker,et al.  Oscillation Criteria for Half-Linear Delay Dynamic Equations on Time Scales , 2009 .

[14]  Lynn Erbe,et al.  Oscillation criteria for nonlinear damped dynamic equations on time scales , 2008, Appl. Math. Comput..