Oscillation of third order functional dynamic equations with mixed arguments on time scales

In this paper we investigate the oscillation of third order nonlinear functional dynamic equation with mixed arguments. Our results extend and improve many known results for oscillation of third order dynamic equations. Some examples are given to illustrate the main results.

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

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

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

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

[5]  Lynn Erbe,et al.  Oscillation of third order nonlinear functional dynamic equations on time scales , 2010 .

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

[7]  Taher S. Hassan,et al.  Oscillation of third order nonlinear delay dynamic equations on time scales , 2009, Math. Comput. Model..

[8]  Samir H. Saker,et al.  Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales , 2005 .

[9]  Lynn Erbe,et al.  Oscillation criteria for nonlinear functional neutral dynamic equations on time scales , 2009 .

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

[11]  Ondrej Doslý,et al.  A necessary and sufficient condition for oscillation of the Sturm--Liouville dynamic equation on time scales , 2002 .

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

[13]  Samir H. Saker,et al.  Hille and Nehari type criteria for third-order dynamic equations , 2007 .

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