Nonoscillatory solutions of a second-order nonlinear discrete system
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | Applied Mathematics and Computation |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | coupled nonlinear difference systems; nonoscillatory solutions; fixed point theorems; functional difference equations |
| Description | A complete characterization for nonoscillatory solutions of a coupled nonlinear difference system is presented. Nonoscillatory solutions are classified into several classes according to their limit behavior, and necessary and sufficient conditions for the existence in each of these classes are established. The multiplicity of solutions is also examined and explicit asymptotic formulas are derived. Possible generalizations and comparisons of our results with existing ones are discussed as well. |
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