Abstract
We consider the following system of difference equations[GRAPHICS]where T = N0. By using fixed point theorems and fixed point index theory, criteria are developed to guarantee the existence of single, double and multiple solutions of the system that are of constant signs, i.e. for each 1 = i = n, u(i)(k) for is an element of k{0,1,,T}. We also consider the eigenvalue problem[GRAPHICS]and establish criteria for the existence of a constant-sign solution when is in some interval.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 531-561 |
| Number of pages | 31 |
| Journal | Journal Of Difference Equations And Applications |
| Volume | 14 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Aug 2008 |
Keywords
- Constant-sign solutions
- Eigenfunctions
- Eigenvalues
- System of difference equations
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, R.P., Wong, P.J.Y.
- Agarwal, RP,O'Regan, D,Wong, PJY