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ArticleOriginal scientific text

Title

New oscillation criteria for first order nonlinear delay differential equations

Authors 1, 2

Affiliations

  1. Department of Applied Mathematics, Central South University of Technology, Changsha, Hunan 410083, P.R. China
  2. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, P.R. China

Abstract

New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].

Keywords

ENG
nonoscillation, delay differential equation, oscillation

Bibliography

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  3. I. Győri and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.
  4. G. S. Ladde, V. Lakshmikantham and B. G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York, 1987.
  5. B. T. Li, Oscillations of delay differential equations with variable coefficients, J. Math. Anal. Appl. 192 (1995), 312-321.
  6. B. T. Li, Oscillation of first order delay differential equations, Proc. Amer. Math. Soc. 124 (1996), 3729-3737.
  7. B. T. Li and Y. Kuang, Sharp conditions for oscillations in some nonlinear nonautonomous delay differential equations, Nonlinear Anal. 29 (1997), 1265-1276.
  8. X. H. Tang and J. H. Shen, Oscillation of first order delay differential equations with variable coefficients, J. Math. Anal. Appl. 217 (1998), 32-42.
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Colloquium Mathematicum
2000/83/1
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Pages:
21-41
Main language of publication
English
Received
1999-07-20
Accepted
1999-08-02
Published
2000
Exact and natural sciences