On a Class of Nonautonomous Max-Type Difference Equations
This paper addresses the max-type difference equation xn=max{fn/xn−kα,B/xn−mβ}, n∈ℕ0, where k,m∈ℕ, B>0, and (fn)n∈ℕ0 is a positive sequence with a finite limit. We prove that every positive solution to the equation converges to max{(limn→∞fn)1/(α+1),B1/(β+1)} under some conditions. Explicit posit...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/436852 |