Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

Date

2017-01-13

Authors

Tunc, Ercan

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Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Neutral differential equation, Oscillation, Asymptotic behavior, Distributed deviating arguments

Citation

Tunç, E. (2017). Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments. <i>Electronic Journal of Differential Equations, 2017</i>(16), pp. 1-12.

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Attribution 4.0 International

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