New oscillation criteria for first order nonlinear delay differential equations

• Autorzy: Xianhua Tang , Jianhua Shen
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

nonoscillation; delay differential equation; oscillation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 83
• Numer: 1
• Strony: 21-41

Daty

wydano

2000

otrzymano

1999-07-20

poprawiono

1999-08-02

Twórcy

autor

Xianhua Tang

• Department of Applied Mathematics, Central South University of Technology, Changsha, Hunan 410083, P.R. China

autor

Jianhua Shen

• Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, P.R. China

Bibliografia

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• [2] L. H. Erbe, Q. K. Kong and B. G. Zhang, Oscillation Theory for Functional Differential Equations, Dekker, New York, 1995.
• [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.
• [9] B. G. Zhang and K. Gopalsamy, Oscillation and nonoscillation in a nonautonomous delay-logistic equation, Quart. Appl. Math. 46 (1988), 267-273.