Title | EXISTENCE OF POSITIVE SOLUTIONS TO SEMIPOSITONE DIRICHLET BVPS ON TIME SCALES |
Publication Type | Journal Article |
Year of Publication | 2007 |
Authors | SUN JIAN-PING, LI WAN-TONG |
Journal | Dynamic Systems and Applications |
Volume | 16 |
Start Page | 571 |
Pagination | 8 |
Date Published | 2007 |
ISSN | 1056-2176 |
AMS Subject Classification | 34B15, 39A10 |
Abstract | In this paper, we are concerned with the following semipositone Dirichlet boundary value problem on a time scale T ( −u ∆∆(t) = g(t, u(t)), t ∈ [0, T]T, u(0) = 0 = u(σ 2 (T)), where g : [0, T]T × [0, +∞) → [−M, +∞) is continuous and M > 0 is a constant. Some existence criteria for at least one positive solution are established by using well-known results from fixed point index theory. |
https://acadsol.eu/dsa/articles/16/571-578-SunLi.pdf | |
Refereed Designation | Refereed |