Ravi P. Agarwal, Said R. Grace, Donal O'Regan, Agacik Zafer
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.
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 email: agarwal@tamuk.edu | |
Said R. Grace Department of Engineering Mathematics, Faculty of Engineering Cairo University, Orman, Giza 12221, Egypt email: saidgrace@yahoo.com | |
Donal O'Regan School of Mathematics, Statistics and Applied mathematics National University of Ireland, Galway, Ireland email: donal.oregan@nuigalway.ie | |
Agacik Zafer College of Engineering and Technology American University of the Middle East Block 3, Egaila, Kuwait email: agacik.zafer@gmail.com |
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