Existence of positive solutions for p-Laplacian an m-point boundary value problem involving the derivative on time scales
| Autor: | Abdulkadir Dogan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2014, Iss 37,, Pp 1-10 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | We are interested in the existence of positive solutions for the -Laplacian dynamic equation on time scales, $$ (\phi_p(u^\Delta(t)))^\nabla+a(t)f(t,u(t),u^\Delta(t))=0,\quad t\in(0,T)_{\mathbb{T}}, $$ subject to the multipoint boundary condition, $$ u(0)=\sum_{i=1}^{m-2}\alpha_i u(\xi_i), \quad u^\Delta(T)=0, $$ where $\phi_p(s)=|s|^{p-2} s$, $p>1$, $\xi_i\in [0,T]_{\mathbb{T}}$, $ 0 |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|