Abstract
A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.
| Original language | English |
|---|---|
| Pages (from-to) | 291-315 |
| Number of pages | 25 |
| Journal | Mathematical Problems in Engineering |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Boundary value problem of second order discrete system
- Monotone convergence
- Monotone iterative method
- Upper and lower solutions