Abstract
A new concept of a pair of upper and lower solutions is introduced for a class of discrete boundary value problems without monotone nonlinearities. Some comparison results are established. An existence and enclosing theorem for the solutions is given in terms of upper and lower solutions. A new monotone iterative scheme is proposed. The numerical example is given.
| Original language | English |
|---|---|
| Pages (from-to) | 51-60 |
| Number of pages | 10 |
| Journal | Computers and Mathematics with Applications |
| Volume | 35 |
| Issue number | 6 |
| DOIs | |
| State | Published - Mar 1998 |
| Externally published | Yes |
Keywords
- Discrete boundary value problem without monotone nonlinearity
- Monotone convergence
- New iterative method
- Upper and lower solution