OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS

Yibing Sun; Yige Zhao

doi:10.11948/2018.1796

2018 Volume 8 Issue 6

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Yibing Sun, Yige Zhao. OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1796-1810. doi: 10.11948/2018.1796

Citation:

Yibing Sun, Yige Zhao. OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1796-1810. doi: 10.11948/2018.1796

OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS

School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

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Abstract

Abstract

This paper concerns the oscillation and asymptotic behavior of a class of third-order nonlinear neutral delay differential equations with distributed deviating arguments. By employing a generalized Riccati transformation and integral averaging technique, we establish some sufficient conditions to ensure that all solutions of the considered equations are either oscillatory or converge to zero, which extend and improve some known results in the literature.
- Oscillation /
- asymptotic property /
- third-order neutral delay differential equations /
- Riccati transformation
MSC: 34K11

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References

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