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Oscillation of first order delay differential equations
Author(s):
Bingtuan
Li
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3729-3737.
MSC (1991):
Primary 34K15;
Secondary 34C10
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Abstract:
We introduce a new technique to analyze the generalized characteristic equations to obtain some infinite integral conditions for oscillation of the nonautonomous delay differential equations.
References:
- [1]
- M. I. Tramov, Conditions for oscillatory solutions of first order differential equations with a delayed argument, Izvestiya Vysshikh Uchebnykh Zavedenii, Seriya Matematika 1975, no. 3, 92-96; English transl., Soviet Mathematics (Iz. VUZ) 19 (1975). MR 52:961
- [2]
- G. Ladas, Sharp conditions for oscillations caused by delays, Applicable Analysis 9 (1979), 93-98. MR 80h:34094
- [3]
- R. G. Koplatadze and T. A. Chanturia, On the oscillatory and monotone solutions of the first order differential equations with deviating arguments, Differencial'nye Uravnenija 18 (1982), 1463-1465. (Russian) MR 83k:34069
- [4]
- G. Ladas and I. P. Stavroulakis, Oscillations caused by several retarded and advanced arguments, J. Differential Equations 44 (1982), 134-152. MR 83e:34104
- [5]
- O. Arino, I. Györi and A. Jawhari, Oscillation criteria in delay equations, J. Differential Equations 53 (1984), 115-123. MR 85k:34168
- [6]
- B. R. Hunt and J. A. Yorke, When all solutions of
 oscillate, J. Differential Equations 53 (1984), 139-145. MR 85k:34169 - [7]
- M. K. Grammatikopoulos, E. A. Grove and G. Ladas, Oscillations of first-order neutral delay differential equations, J. Math. Anal. Appl. 120 (1986), 510-520. MR 87m:34089
- [8]
- I. Györi, Oscillation conditions in scalar linear delay differential equations, Bull. Austral. Math. Soc. 34 (1986), 1-9. MR 87j:34137
- [9]
- G. S. Ladde, V. Lakshmikantham and B. G. Zhang, Oscillation theory of differential equations with deviating arguments, Marcel Dekker, New York, 1987. MR 90h:34118
- [10]
- B. G. Zhang and K. Gopalsamy, Oscillation and nonoscillation in a nonautonomous delay-logistic equation, Quart. Appl. Math. 46 (1988), 267-273. MR 89k:34128
- [11]
- G. Ladas and C. Qian, Oscillation in differential equations with positive and negative coefficients, Canad. Math. Bull. 33 (1990), 442-451. MR 92b:34083
- [12]
- Y. Cheng, Oscillation in nonautonomous scalar differential equations with deviating arguments, Proc. Amer. Math. Soc. 110 (1990), 711-719. MR 91b:34110
- [13]
- I. Györi and G. Ladas, Oscillation theory of delay differential equations with applications, Clarendon Press, Oxford, 1991. MR 93m:34109
- [14]
- M. K. Kwong, Oscillation of first-order delay equations, J. Math. Anal. Appl. 156 (1991), 274-286. MR 92b:34082
- [15]
- G. Ladas, C. Qian and J. Yan, A comparison result for the oscillation of delay differential equations, Proc. Amer. Math. Soc. 114 (1992), 939-946. MR 92g:34097
- [16]
- B. Li, Oscillations of delay differential equations with variable coefficients, J. Math. Anal. Appl. 192 (1995), 312-321. CMP 95:12
- [17]
- L. H. Erbe, Qingkai Kong and B. G. Zhang, Oscillation theory for functional differential equations, Marcel Dekker, New York, 1995. CMP 95:6
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Additional Information:
Bingtuan
Li
Affiliation:
Department of Mathematics, Arizona State University, Tempe, Arizona 85287-1804
Email:
bingtuan@asu.edu
DOI:
10.1090/S0002-9939-96-03674-X
PII:
S 0002-9939(96)03674-X
Keywords:
Oscillation,
nonoscillation,
delay differential equations
Received by editor(s):
May 12, 1995
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
1996,
American Mathematical Society
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