Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472126 | Computers & Mathematics with Applications | 2012 | 7 Pages |
Abstract
Using the technique of Darbo’s fixed point theorem we investigate a nonlinear second order difference equation of the form Δ(rnΔxn)=anf(xn+1) where x:N0→Rx:N0→R, a,r:N0→Ra,r:N0→R and f:R→Rf:R→R is a continuous function. Additionally, the Sturm–Liouville difference equation is considered as a special case of the above equation. Sufficient conditions for the existence of an asymptotically periodic solution of this equation are obtained. An example illustrates the result. Next, the conditions under which this equation has no asymptotically periodic solutions are presented.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ewa Schmeidel, Zenon Zba̧szyniak,