Necessary and sufficient conditions for boundedness and stability of \(N\)-order difference equation (Q1408331)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Necessary and sufficient conditions for boundedness and stability of \(N\)-order difference equation |
scientific article; zbMATH DE number 1981466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions for boundedness and stability of \(N\)-order difference equation |
scientific article; zbMATH DE number 1981466 |
Statements
Necessary and sufficient conditions for boundedness and stability of \(N\)-order difference equation (English)
0 references
15 September 2003
0 references
The author investigates boundedness, persistence and asymptotic behaviour of the positive solutions of the equation \[ {x_{k+1}=\frac{A_1}{x_k^{p_1}}+\frac{A_2}{x_{k-1}^{p_2}}+\cdots +\frac{A_n}{x_{k-n+1}^{p_n}}}, \] where \(A_1,A_2,A_3,p_i\in (0,\infty)\), \(i=1,2,\dots,n\) and \(A_i\in [0,\infty)\), \(i=4,5,\dots,n\).
0 references
stability
0 references
boundedness
0 references
persistence
0 references
positive solutions
0 references
