Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions
In this paper, we study the existence of nontrivial solutions for a system of fractional <i>q</i>-difference equations involving <i>q</i>-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue of some...
| 发表在: | Mathematics |
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| Main Authors: | , , , |
| 格式: | 文件 |
| 语言: | 英语 |
| 出版: |
MDPI AG
2020-05-01
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| 主题: | |
| 在线阅读: | https://www.mdpi.com/2227-7390/8/5/828 |
| _version_ | 1849892363296571392 |
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| author | Yaohong Li Jie Liu Donal O’Regan Jiafa Xu |
| author_facet | Yaohong Li Jie Liu Donal O’Regan Jiafa Xu |
| author_sort | Yaohong Li |
| collection | DOAJ |
| container_title | Mathematics |
| description | In this paper, we study the existence of nontrivial solutions for a system of fractional <i>q</i>-difference equations involving <i>q</i>-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue of some associated linear integral operators. |
| format | Article |
| id | doaj-art-e86f9c6bca454f17b0a9d66e8a529caa |
| institution | Directory of Open Access Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-e86f9c6bca454f17b0a9d66e8a529caa2025-08-20T01:03:15ZengMDPI AGMathematics2227-73902020-05-018582810.3390/math8050828Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary ConditionsYaohong Li0Jie Liu1Donal O’Regan2Jiafa Xu3School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, ChinaSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 CF50 Galway, IrelandSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, ChinaIn this paper, we study the existence of nontrivial solutions for a system of fractional <i>q</i>-difference equations involving <i>q</i>-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue of some associated linear integral operators.https://www.mdpi.com/2227-7390/8/5/828fractional <i>q</i>-difference equations<i>q</i>-integral boundary conditionstopological degreenontrivial solutions |
| spellingShingle | Yaohong Li Jie Liu Donal O’Regan Jiafa Xu Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions fractional <i>q</i>-difference equations <i>q</i>-integral boundary conditions topological degree nontrivial solutions |
| title | Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions |
| title_full | Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions |
| title_fullStr | Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions |
| title_full_unstemmed | Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions |
| title_short | Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions |
| title_sort | nontrivial solutions for a system of fractional i q i difference equations involving i q i integral boundary conditions |
| topic | fractional <i>q</i>-difference equations <i>q</i>-integral boundary conditions topological degree nontrivial solutions |
| url | https://www.mdpi.com/2227-7390/8/5/828 |
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