| 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.[XIAO Ke,CHEN Huiwen,LI Jiameng.Multiplicity of Homoclinic Solutions of Second-order Non-autonomous Systems with Asymmetric Conditions[J].Journal of University of South China(Science and Technology),2021,(1):67~70, 96.] |
| 具有非对称条件下二阶非自治系统同宿解的多重性 |
| Multiplicity of Homoclinic Solutions of Second-order Non-autonomous Systems with Asymmetric Conditions |
| 投稿时间：2020-07-24 |
| DOI：10. 19431/ j. cnki. 1673-0062. 2021. 01. 011 |
| 中文关键词: 二阶非自治系统 同宿解 临界点定理 |
| 英文关键词:second-order non-autonomous systems homoclinic orbits critical point theory |
| 基金项目:国家自然科学基金项目(1601222) |
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| 摘要点击次数: 462 |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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