| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4625918 | Applied Mathematics and Computation | 2016 | 12 Pages |
Abstract
Asymptotic properties of solutions to difference equation of the form Δm(xn+unxn+k)=anf(n,xσ(n))+bnΔm(xn+unxn+k)=anf(n,xσ(n))+bnare studied. We give sufficient conditions under which all solutions, or all solutions with polynomial growth, or all nonoscillatory solutions are asymptotically polynomial. We use a new technique which allows us to control the degree of approximation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Janusz Migda,