Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales

Abstract

In this article, we study the asymptotic behavior of non-oscillatory solutions of second-order integro-dynamic equations as well as the oscillatory behavior of forced second order integro-dynamic equations on time scales. The results are new for the continuous and discrete cases. Examples are provided to illustrate the relevance of the results.

Keywords

• Integro-dynamic equation
• oscillation
• time scales