Positive solutions to a nonlinear fractional Dirichlet problem on the half-line
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}^{+}\ti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/50/abstr.html |
| Summary: | 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. |
|---|---|
| ISSN: | 1072-6691 |