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 obta
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Global attractivity in a delay logistic difference equation
β Scribed by Yinggao Zhou
- Book ID
- 107500632
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2003
- Tongue
- English
- Weight
- 190 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1005-1031
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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