Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients

Abstract

Abstract We study asymptotic properties of a class of third-order nonlinear delay dynamic equations with positive and negative coefficients on time scales. In this paper, we establish new results on asymptotic behavior of nonoscillatory and oscillatory solutions for the corresponding equations by making a comparison with suitable first-order dynamic equations. Finally, we offer an example to illustrate the feasibility of our results.

Keywords

• Nonlinear delay dynamic equations
• Comparison method
• Positive and negative coefficients
• Oscillation
• Asymptotic behavior