On recessive and dominant solutions for half-linear difference equations
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Periodical |
| Magazine / Source | J. Difference Equ. Appl. |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tandf.co.uk/journals |
| Field | General mathematics |
| Keywords | recessive solution; dominant solution; half-linear second order difference equation; boundary value problems; Riccati difference equation |
| Description | Recessive and dominant solutions for the half-linear difference equation are studied. By the unique solvability of certain boundary value problems, recessive solutions are defined as "smallest solutions in a neighbourhood of infinity". The equivalency with other properties, namely with the Riccati property and the convergence or divergence of a suitable series, is also proved. |
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