We obtain some results concerning the investigation of two-dimensionalnon-linear boundary value problems of interpolation type. We show that it is useful to reduce the given boundary value problem, usingan appropriate substitution, to a parametrized boundary value problemcontaining some unknown scalar parameter in the boundary conditions.To study the transformed parametrized problem, we use amethod which is based upon special types of successive approximations constructed in ananalytic form.
@article{30,
title = {Parametrizaion for some boundary value problems of interpolation type},
journal = {Tatra Mountains Mathematical Publications},
volume = {43},
year = {2009},
doi = {10.2478/tatra.v43i0.30},
language = {EN},
url = {http://dml.mathdoc.fr/item/30}
}
Rontó, Miklós; Shchobak, Natalia. Parametrizaion for some boundary value problems of interpolation type. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v43i0.30. http://gdmltest.u-ga.fr/item/30/