Abstract
This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle.
| Original language | English |
|---|---|
| Pages (from-to) | 383-400 |
| Number of pages | 18 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 312 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Dec 2005 |
Keywords
- 2nth-Order Lidstone boundary value problem
- Existence and uniqueness
- Maximum principle
- Method of upper and lower solutions