| Title | A nonlocal boundary value problem for a class of nonlinear equations of mixed type |
| Publication Type | Journal Article |
| Year of Publication | 2008 |
| Authors | Karatopraklieva M |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 98 |
| Keywords | nonlocal boundary value problem, Partial differential equation of mixed type, uniqueness and existence of a weak solution |
| Abstract | 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 |
| Attachment | Size |
|---|---|
 98-143-155.pdf | 1.12 MB |