Positive solutions to a nonlinear fractional Dirichlet problem on the half-line

Autor: Habib Maagli, Abdelwaheb Dhifli
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2014, Iss 50,, Pp 1-7 (2014)
Druh dokumentu: article
ISSN: 1072-6691
Popis: This concerns the existence of infinitely many positive solutions to the fractional differential equation $$\displaylines{ D^{\alpha }u(x)+f(x,u,D^{\alpha -1}u)=0, \quad x>0,\cr \lim_{x\to 0^{+}}u(x)=0, }$$ where $\alpha \in (1,2]$ and f is a Borel measurable function in $\mathbb{R}^{+}\times \mathbb{R}^{+}\times \mathbb{R}^{+}$ satisfying some appropriate conditions.
Databáze: Directory of Open Access Journals