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.
|Number of pages||16|
|Journal||Miskolc Mathematical Notes|
|Publication status||Published - 5 Nov 2012|
- Determining system
- Numerical-analytic method
- Successive approximations
- Three-point non-linear boundary-value problem