Oscillation of a logistic equation with delay and diffusion
Sheng Li Xie ; Sui Sun Cheng
Annales Polonici Mathematici, Tome 62 (1995), p. 219-230 / Harvested from The Polish Digital Mathematics Library

This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:262672
@article{bwmeta1.element.bwnjournal-article-apmv62z3p219bwm,
     author = {Sheng Li Xie and Sui Sun Cheng},
     title = {Oscillation of a logistic equation with delay and diffusion},
     journal = {Annales Polonici Mathematici},
     volume = {62},
     year = {1995},
     pages = {219-230},
     zbl = {0841.35044},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv62z3p219bwm}
}
Sheng Li Xie; Sui Sun Cheng. Oscillation of a logistic equation with delay and diffusion. Annales Polonici Mathematici, Tome 62 (1995) pp. 219-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv62z3p219bwm/

[000] [1] A. Ardito and P. Ricciardi, Existence and regularity for linear delay partial differential equations, Nonlinear Anal. 4 (1980), 411-414. | Zbl 0433.35066

[001] [2] D. D. Bainov and D. P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, Bristol, 1991. | Zbl 0747.34037

[002] [3] K. Gopalsamy, M. R. S. Kulenovic and G. Ladas, Time lags in a 'food limited' population model, Appl. Anal. 31 (1988), 225-237. | Zbl 0639.34070

[003] [4] K. Gopalsamy, M. R. S. Kulenovic and G. Ladas, Oscillations of a system of delay logistic equations, J. Math. Anal. Appl. 146 (1990), 192-202. | Zbl 0686.34066

[004] [5] I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. | Zbl 0780.34048

[005] [6] B. R. Hunt and J. A. Yorke, When all solutions of x'=-qi(t)x(t-Ti(t)) oscillate, J. Differential Equations 53 (1984), 139-145. | Zbl 0571.34057

[006] [7] K. Kreith and G. Ladas, Allowable delays for positive diffusion processes, Hiroshima Math. J. 15 (1985), 437-443. | Zbl 0591.35025

[007] [8] G. Ladas and I. P. Stavroulakis, On delay differential inequalities of first order, Funkcial. Ekvac. 25 (1982), 105-113.

[008] [9] C. C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200 (1974), 395-418. | Zbl 0299.35085

[009] [10] J. Turo, Generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in the Schauder canonic form, Ann. Polon. Math. 50 (1989), 157-183. | Zbl 0717.35051