| Заглавие | A nonlocal boundary value problem for a class of nonlinear equations of mixed type |
| Вид публикация | Journal Article |
| Година на публикуване | 2008 |
| Автори | Karatopraklieva M |
| Списание | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Том | 98 |
| ключови думи | nonlocal boundary value problem, Partial differential equation of mixed type, uniqueness and existence of a weak solution |
| Резюме | Nonlocal boundary-value problems for second order linear and nonlinear differential equations of mixed type in a bounded multidimensional cylindrical domain are considered. Uniqueness and existence of a weak solution in the linear case are established. Applying these results and Schauder's fixed point theorem existence of a weak solution in the nonlinear case is proved. A uniqueness result is also established. |
| 2000 MSC | main 35M10, secondary 35D05 |
| Прикачен файл | Размер |
|---|---|
| 1.12 MB |