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 |
| _version_ | 1797830712265539584 |
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| author | Rui Ferreira |
| author_facet | Rui Ferreira |
| author_sort | Rui Ferreira |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T13:40:28Z |
| format | Article |
| id | doaj.art-5a992679fdd24ed6bf54227d5e6215a6 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:28Z |
| publishDate | 2010-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5a992679fdd24ed6bf54227d5e6215a62023-05-09T07:53:00ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752010-11-0120107011010.14232/ejqtde.2010.1.70530Nontrivial solutions for fractional $q$-difference boundary value problemsRui Ferreira0Grupo F'isica-Matemática, Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal.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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=530 |
| spellingShingle | Rui Ferreira Nontrivial solutions for fractional $q$-difference boundary value problems Electronic Journal of Qualitative Theory of Differential Equations |
| title | Nontrivial solutions for fractional $q$-difference boundary value problems |
| title_full | Nontrivial solutions for fractional $q$-difference boundary value problems |
| title_fullStr | Nontrivial solutions for fractional $q$-difference boundary value problems |
| title_full_unstemmed | Nontrivial solutions for fractional $q$-difference boundary value problems |
| title_short | Nontrivial solutions for fractional $q$-difference boundary value problems |
| title_sort | nontrivial solutions for fractional q difference boundary value problems |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=530 |
| work_keys_str_mv | AT ruiferreira nontrivialsolutionsforfractionalqdifferenceboundaryvalueproblems |