Oscillation Conditions of First Order Delay Differential Equations with Positive and Negative Coefficients

Authors

  • V. Amudhamalar  Department of Mathematics, Kongu Arts and Science College (Autonomous), Erode, Tamilnadu, India
  • P. Sathish  Department of Mathematics, Nandha Arts and Science College, Erode, Tamilnadu, India

Keywords:

Oscillation; Delay Differential equations; Linear; Positive; Negative.

Abstract

In this paper, we obtain some oscillation criteria for the first order delay differential equation with x¢ (t) + p(t) x( (t)) = 0, t > t0. By applying these results, we also establish some integral conditions for oscillation of the higher order delay differential equations.

References

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  2. Kon .M, Sficas .Y.G, Stavroulakis. I.P.,” Oscillation criteria for delay equations”, Proc.Amer. Math.Soc, vol.128, (2000).
  3. Bingtuan.Li, “Oscillation of first order delay differential equations”, Proc.Amer.Math.Soc, vol.124, (1996).
  4. Basak Karupz, Ozkan Ocalan, “Oscillation criteria for some classes of Linear delay differential equations of first order”, Bulletin of the institute of mathematics, Vol.3 (2008).
  5. E .M. Elabbasy, A.S.Hegazi, S.H.Saker., “Oscillation of solution to delay differential equations with positive and negative coefficients”, Electronic Journal of Differential equations, (2000).

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-02-29

Issue

Volume 2, Issue 1, January-February-2016

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
V. Amudhamalar, P. Sathish "Oscillation Conditions of First Order Delay Differential Equations with Positive and Negative Coefficients" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 1, pp.400-408, January-February-2016.