Oscillation of a logistic equation with delay and diffusion

Sheng Li Xie; Sui Sun Cheng

Annales Polonici Mathematici (1995)

  • Volume: 62, Issue: 3, page 219-230
  • ISSN: 0066-2216

Abstract

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

How to cite

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Sheng Li Xie, and Sui Sun Cheng. "Oscillation of a logistic equation with delay and diffusion." Annales Polonici Mathematici 62.3 (1995): 219-230. <http://eudml.org/doc/262672>.

@article{ShengLiXie1995,
abstract = {This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.},
author = {Sheng Li Xie, Sui Sun Cheng},
journal = {Annales Polonici Mathematici},
keywords = {oscillation theorem; functional parabolic differential equation; logistic equation; oscillation; averaging technique},
language = {eng},
number = {3},
pages = {219-230},
title = {Oscillation of a logistic equation with delay and diffusion},
url = {http://eudml.org/doc/262672},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Sheng Li Xie
AU - Sui Sun Cheng
TI - Oscillation of a logistic equation with delay and diffusion
JO - Annales Polonici Mathematici
PY - 1995
VL - 62
IS - 3
SP - 219
EP - 230
AB - This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.
LA - eng
KW - oscillation theorem; functional parabolic differential equation; logistic equation; oscillation; averaging technique
UR - http://eudml.org/doc/262672
ER -

References

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  1. [1] A. Ardito and P. Ricciardi, Existence and regularity for linear delay partial differential equations, Nonlinear Anal. 4 (1980), 411-414. Zbl0433.35066
  2. [2] D. D. Bainov and D. P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, Bristol, 1991. Zbl0747.34037
  3. [3] K. Gopalsamy, M. R. S. Kulenovic and G. Ladas, Time lags in a 'food limited' population model, Appl. Anal. 31 (1988), 225-237. Zbl0639.34070
  4. [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. Zbl0686.34066
  5. [5] I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. Zbl0780.34048
  6. [6] B. R. Hunt and J. A. Yorke, When all solutions of x ' = - ∑ q i ( t ) x ( t - T i ( t ) ) oscillate, J. Differential Equations 53 (1984), 139-145. Zbl0571.34057
  7. [7] K. Kreith and G. Ladas, Allowable delays for positive diffusion processes, Hiroshima Math. J. 15 (1985), 437-443. Zbl0591.35025
  8. [8] G. Ladas and I. P. Stavroulakis, On delay differential inequalities of first order, Funkcial. Ekvac. 25 (1982), 105-113. 
  9. [9] C. C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200 (1974), 395-418. Zbl0299.35085
  10. [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. Zbl0717.35051

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