Open AccessSTATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Author(s) -
Raimondas Čiegis,
Artūras Štikonas,
Olga Štikonienė,
Olga Suboč
Publication year - 2001
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2001.9637157
Subject(s) - mathematics , boundary value problem , norm (philosophy) , negativity effect , boundary (topology) , finite difference , differential (mechanical device) , stability (learning theory) , mathematical analysis , computer science , physics , psychology , social psychology , machine learning , political science , law , thermodynamics
In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated. All theoretical results are illustrated by representative examples.