Publication details
Decaying solutions for discrete boundary value problems on the half line
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Difference Equations and Applications |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tandfonline.com/doi/full/10.1080/10236198.2016.1190349 |
| Doi | http://dx.doi.org/10.1080/10236198.2016.1190349 |
| Field | General mathematics |
| Keywords | p-Laplacian difference equations; decaying solutions; recessive solutions; functional equations; fixed point theorems in Fréchet spaces |
| Description | Some nonlocal boundary value problems, associated to a class of functional difference equations on unbounded domains, are considered by means of a new approach. Their solvability is obtained by using properties of the recessive solution to suitable half-linear difference equations, a half-linearization technique and a fixed point theorem in Frechét spaces. The result is applied to derive the existence of nonoscillatory solutions with initial and final data. Examples and open problems complete the paper. |