| 具有非对称条件下二阶非自治系统同宿解的多重性 |
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| 引用本文： | 肖可,陈会文,李家萌.具有非对称条件下二阶非自治系统同宿解的多重性[J].南华大学学报(自然科学版),2021(1):67-70, 96. |
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| 作者姓名： | 肖可 陈会文 李家萌 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 国家自然科学基金项目(1601222) |
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| 摘 要： | 讨论了在非对称条件下,二阶非自治系统ü(t)+Bu·(t)-L(t)u(t)+W(t,u(t))=0,t∈R同宿解的多重性,通过运用临界点定理,改善了现已有的研究结果。
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| 关 键 词： | 二阶非自治系统 同宿解 临界点定理 |
| 收稿时间： | 2020/7/24 0:00:00 |
Multiplicity of Homoclinic Solutions of Second-order Non-autonomous Systems with Asymmetric Conditions |
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| XIAO Ke,CHEN Huiwen,LI Jiameng.Multiplicity of Homoclinic Solutions of Second-order Non-autonomous Systems with Asymmetric Conditions[J].Journal of Nanhua University:Science and Technology,2021(1):67-70, 96. |
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| Authors: | XIAO Ke CHEN Huiwen LI Jiameng |
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| Institution: | School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China |
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| Abstract: | In this paper, the multiplicity of homoclinic solutions of second-order non-autonomous systems under asymmetric conditions is discussed. By using the critical point theorem,the existing research results are improved. |
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| Keywords: | second-order non-autonomous systems homoclinic orbits critical point theory |
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