On the parametrization of boundary-value problems with three-point non-linear restrictions

Miklós Rontó, K. Marynets
2012 Miskolc Mathematical Notes  
We obtain some results concerning the solutions of certain types of three-point nonlinear 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. 2000 Mathematics Subject
more » ... ject Classification: 34B15; 34B08
doi:10.18514/mmn.2012.444 fatcat:wxmcsriu5zghjeu7ygniun6mdm