| 摘要: |
| 考虑一类q-差分方程正解的存在性与不存在性问题,运用锥上Guo-Krasnosel'skill不动点定理,分别获得了存在一个正解、两个正解及不存在正解的充分条件. |
| 关键词: 分数阶q-导数 边值问题 正解 不动点定理 |
| DOI：10.3969/J.ISSN.1000-5137.2022.03.016 |
| 分类号:O171 |
| 基金项目:The Natura Science Foundation of China (11871314);Scientific and Technological Innovation Programs of Higher Eduction Institutions in Shanxi (2021L382) |
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| Existence and nonexistence of positive solutions for a class of fractional q-difference equation |
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KANG Shugui1, HAN Yonghui2, CHEN Fu1
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1.School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, Shanxi, China;2.School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, Shanxi, China
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| Abstract: |
| In this paper, we consider the existence and nonexistence of positive solutions for a class of fractional q-difference equation. We obtain sufficient conditions on the existence of one positive solution, two positive solutions and no positive solution by applying Guo-Krasnosel’skii fixed point theorem on cones. |
| Key words: fractional q-differences boundary value problem positive solutions fixed-point theorem |
