This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to converges to zero. The results obtained can easily be extended to more general neutral differential equations and neutral dynamic equations on time scales. Two examples are also provided to illustrate the results.
Submitted September 9, 2016. Published January 13, 2017.
Math Subject Classifications: 34C10, 34C15, 34K11.
Key Words: Neutral differential equation; oscillation; asymptotic behavior; distributed deviating arguments.
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| Ercan Tunç |
Department of Mathematics
Faculty of Arts and Sciences
60240, Tokat, Turkey
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