| 一类分数阶边值问题无穷多解的存在性 |
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| 引用本文： | 何仙,张清业. 一类分数阶边值问题无穷多解的存在性[J]. 江西师范大学学报(自然科学版), 2020, 44(5): 515-520. DOI: 10.16357/j.cnki.issn1000-5862.2020.05.12 |
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| 作者姓名： | 何仙 张清业 |
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| 作者单位： | 江西师范大学数学与统计学院,江西 南昌 330022 |
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| 基金项目： | 江西省自然科学基金;国家自然科学基金 |
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| 摘 要： | 运用变分法研究了一类非线性项仅在原点附近有定义的分数阶边值问题解的多重性问题,主要利用一种变化形式的对称山路引理证明了其在原点附近无穷多解的存在性,该结果丰富和完善了已有的相关结果.
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| 关 键 词： | 分数阶 边值问题 变分法 对称山路引理 |
The Existence of Infinitely Many Solutions for a Class of Fractional Boundary Value Problems |
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| HE Xian,ZHANG Qingye. The Existence of Infinitely Many Solutions for a Class of Fractional Boundary Value Problems[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2020, 44(5): 515-520. DOI: 10.16357/j.cnki.issn1000-5862.2020.05.12 |
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| Authors: | HE Xian ZHANG Qingye |
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| Affiliation: | School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 30022,China |
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| Abstract: | The multiplicity of solutions for a class of fractional boundary value problems is studied in the paper by variational methods,where the nonlinearity is only defined near the origin.A variant of symmetric mountain pass lemma is mainly used to prove the existence of infinitely many solutions for them near the origin,which significantly enriches and improves the related results in the literature. |
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| Keywords: | fractional boundary value problem variational method symmetric mountain pass lemma |
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