Global attractivity of a nonautonomous logistic difference equation with delay
β Scribed by Zhan Zhou; Qinqin Zhang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 316 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
Consider the nonautonomous delay logistic difference equation /kyn=pnyn(1--Yn~k'-"--~"), n=0,1 ..... (1.1)
where {Pn}n>_o is a sequence of nonnegative real numbers, {kn}n>_o is a sequence of positive integers, {n -kn) is nondecreasing, limn--.co(n -kn) --vo, and ,k is a positive constant. We obtain new sufficient conditions for the global attractivity of the equilibrium ~ of equation (1.1), which improve some recent results established in [1].
π SIMILAR VOLUMES
In this paper, we give sufficient conditions under which every solution of the nonlinear difference equation with variable delay tends to zero as n --+ c<). Here, {Pn} is a nonnegative sequence, f : R --+ R is a continuous function with xf(x) > 0 if x ~ 0, and g : N --~ Z is nondecreasing and satis
Consider the following nonautonomous differential equation with a piecewise constant delay: In this paper, using a recent result of a full affirmative answer to the Gopalsamy and Liu's conjecture for the autonomous case of the above equation with a(t) β‘ a β₯ 0 and b(t) β‘ b > 0, we derive three types