On oscillation of a logistic equation with several delays

Journal of Computational and Applied Mathematics

Volumn 113, Issue 1, 2000, Pages 255-265

  Berezansky, Leonid ^a   Braverman, Elena ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000181461     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00260-5     Document Type: Article

References (11)

1. L. Berezansky, E. Braverman, On nonoscillation of a scalar delay differential equation, Dynamic Systems Appl. 6 (1997) 567-580.
2. L.N. Erbe, Q. Kong, B.G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
3. K. Gopalsamy, Stability and Oscillation in Delay Differential Equations of Population Dynamics, Kluwer Academic Publishers, Dordrecht, 1992.
4. S.R. Grace, I. Györi, B.S. Lalli, Necessary and sufficient conditions for the oscillations of multiplicative delay logistic equation, Quart. Appl. Math. LIII (1995) 69-79.
5. I. Györi, G. Ladas, Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991.
6. J.S. Jones, On the nonlinear differential difference equation ḟ(x) = f(x - 1)[1 + f(x)], J. Math. Anal. Appl. 4 (1962) 440-469.
7. S. Kakutani, L. Markus, On the nonlinear difference differential equation ẏ(t) = [A - By(t - τ)]y(t), Contributions to the Theory of Nonlinear Oscillations 4 (1958) 1-18.
8. S.M. Lenhart, C.C. Travis, Global stability of a biological model with time delay, Proc. Amer. Math. Soc. 96 (1986) 75-78.
9. R.M. May, Time delay versus stability in population models with two or three trophic levels, Ecology 54 (1973) 315-325.
10. E.M. Wright, A nonlinear difference-differential equation, J. Reine Angew. Math. 194 (1955) 66-87.
11. B. Zhang, K. Gopalsamy, Oscillation and nonoscillation in a nonautonomous delay-logistic equation, Quart. Appl. Math. XLVI (1988) 267-273.