Abstract
We obtain some results concerning the solutions of certain types of three-point non-linear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.
| Original language | English |
|---|---|
| Pages (from-to) | 91-106 |
| Number of pages | 16 |
| Journal | Miskolc Mathematical Notes |
| Volume | 13 |
| Issue number | 1 |
| Publication status | Published - 5 Nov 2012 |
| Externally published | Yes |
Keywords
- Determining system
- Numerical-analytic method
- Successive approximations
- Three-point non-linear boundary-value problem