Using Fan’s Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional.
@article{bwmeta1.element.doi-10_2478_s11533-012-0010-1,
author = {Marek Galewski and Szymon G\l \k ab},
title = {Continuous dependence on parameters for second order discrete BVP's},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1076-1083},
zbl = {1245.39005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0010-1}
}
Marek Galewski; Szymon Głąb. Continuous dependence on parameters for second order discrete BVP’s. Open Mathematics, Tome 10 (2012) pp. 1076-1083. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0010-1/
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