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

Authors(2) :-V. Amudhamalar, P. Sathish

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.

Authors and Affiliations

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

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

  1. E.M.Elabbasy, T.S.Hassan, “Oscillation criteria for first order delay differential equations”, J.30 (2004).
  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).

Publication Details

Published in : Volume 2 | Issue 1 | January-February 2016
Date of Publication : 2016-02-29
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 400-408
Manuscript Number : IJSRSET162189
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

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. Citation Detection and Elimination     |     
Journal URL : https://ijsrset.com/IJSRSET162189

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