Asymptotic Convergence of the Solutions of a Dynamic Equation on Discrete Time Scales
The paper investigates a dynamic equation Δy(tn)=β(tn)[y(tn−j)−y(tn−k)] for n→∞, where k and j are integers such that k>j≥0, on an arbitrary discrete time scale T:={tn} with tn∈ℝ, n∈ℤn0−k∞={n0−k,n0−k+1,…}, n0∈ℕ, tn<tn+1, Δy(tn)=y(tn+1)−y(tn), and limn→∞tn=∞. We assume β:T→(0,∞). It is proved t...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/580750 |