Consider the nonautonomous hyperlogistic delay difference equation where {p~} is a sequence of positive real numbers, {k~} a sequence of nonnegative integers such that {n -k=} is nondecreasing, and r a ratio of two odd integers. Our main results give sufficient conditions that guarantee every solut
The limits of the solutions of a nonautonomous linear delay difference equation
β Scribed by M. Pituk
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 327 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
Comider the system of hnear delay difference equations where the coefficients A, (II) are square matrices and kj and I, are nonnegat,ivr int,egers. In this note, we show that if thts coefficients are "small", then every solution of the above equation tends to a constant vector as n _ w and the value of the limit can be characterized by B special solution of the
π SIMILAR VOLUMES
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