New oscillation criteria for first order nonlinear delay differential equations
Colloquium Mathematicae (2000)
- Volume: 83, Issue: 1, page 21-41
- ISSN: 0010-1354
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Abstract
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topTang, Xianhua, and Shen, Jianhua. "New oscillation criteria for first order nonlinear delay differential equations." Colloquium Mathematicae 83.1 (2000): 21-41. <http://eudml.org/doc/210771>.
@article{Tang2000,
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].},
author = {Tang, Xianhua, Shen, Jianhua},
journal = {Colloquium Mathematicae},
keywords = {nonoscillation; delay differential equation; oscillation; solutions; first-order nonlinear delay differential equations},
language = {eng},
number = {1},
pages = {21-41},
title = {New oscillation criteria for first order nonlinear delay differential equations},
url = {http://eudml.org/doc/210771},
volume = {83},
year = {2000},
}
TY - JOUR
AU - Tang, Xianhua
AU - Shen, Jianhua
TI - New oscillation criteria for first order nonlinear delay differential equations
JO - Colloquium Mathematicae
PY - 2000
VL - 83
IS - 1
SP - 21
EP - 41
AB - 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].
LA - eng
KW - nonoscillation; delay differential equation; oscillation; solutions; first-order nonlinear delay differential equations
UR - http://eudml.org/doc/210771
ER -
References
top- [1] A. Elbert and I. P. Stavroulakis, Oscillation and nonoscillation criteria for delay differential equations, Proc. Amer. Math. Soc. 123 (1995), 1503-1510. Zbl0828.34057
- [2] L. H. Erbe, Q. K. Kong and B. G. Zhang, Oscillation Theory for Functional Differential Equations, Dekker, New York, 1995. Zbl0821.34067
- [3] I. Győri and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. Zbl0780.34048
- [4] G. S. Ladde, V. Lakshmikantham and B. G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York, 1987. Zbl0832.34071
- [5] B. T. Li, Oscillations of delay differential equations with variable coefficients, J. Math. Anal. Appl. 192 (1995), 312-321. Zbl0829.34060
- [6] B. T. Li, Oscillation of first order delay differential equations, Proc. Amer. Math. Soc. 124 (1996), 3729-3737. Zbl0865.34057
- [7] B. T. Li and Y. Kuang, Sharp conditions for oscillations in some nonlinear nonautonomous delay differential equations, Nonlinear Anal. 29 (1997), 1265-1276. Zbl0887.34068
- [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. Zbl0893.34065
- [9] B. G. Zhang and K. Gopalsamy, Oscillation and nonoscillation in a nonautonomous delay-logistic equation, Quart. Appl. Math. 46 (1988), 267-273. Zbl0648.34078
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