Abstract
We consider the following system of Urysohn integral equations [image omitted] By using fixed point theorems and fixed point index theory, criteria are established for the existence of single, double and multiple solutions of the system that are of constant signs, i.e., for each 1in, ui(t)0 or ui(t)0 for t[0,1]. We also consider the eigenvalue problem [image omitted] where criteria are derived such that for in some interval, the existence of a constant-sign solution is guaranteed.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 1205-1239 |
| Number of pages | 35 |
| Journal | Numerical Functional Analysis And Optimization |
| Volume | 29 |
| Issue number | 11-12 |
| DOIs | |
| Publication status | Published - 1 May 2008 |
Keywords
- Constant-sign solutions
- Eigenfunctions
- Eigenvalues
- System of Urysohn integral equations
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, R.P., Wong, P.J.Y.
- Agarwal, R,O'Regan, D,Wong, P