Nontrivial solutions for fractional $q$-difference boundary value problems
In this paper, we investigate the existence of nontrivial solutions to the nonlinear $q$-fractional boundary value problem \begin{align*} &(D_q^\alpha y)(x)=-f(x,y(x)),\quad 0<x<1,\\ &y(0)=0=y(1), \end{align*} by applying a fixed point theorem in cones.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2010-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=530 |
| Summary: | In this paper, we investigate the existence of nontrivial solutions to the nonlinear $q$-fractional boundary value problem
\begin{align*}
&(D_q^\alpha y)(x)=-f(x,y(x)),\quad 0<x<1,\\
&y(0)=0=y(1),
\end{align*}
by applying a fixed point theorem in cones. |
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| ISSN: | 1417-3875 |