Ravi P. Agarwal, Said R. Grace, Donal O'Regan, Agacik Zafer
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.
Submitted September 11, 2013. Published April 15, 2014.
Math Subject Classifications: 34N05, 45D05, 34C10.
Key Words: Integro-dynamic equation; oscillation; time scales.
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| Ravi P. Agarwal |
Department of Mathematics
Texas A&M University - Kingsville
Kingsville, TX 78363, USA
| Said R. Grace |
Department of Engineering Mathematics, Faculty of Engineering
Cairo University, Orman, Giza 12221, Egypt
| Donal O'Regan |
School of Mathematics, Statistics and Applied mathematics
National University of Ireland, Galway, Ireland
| Agacik Zafer |
College of Engineering and Technology
American University of the Middle East
Block 3, Egaila, Kuwait
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