| 一类非自治p(t)-Laplace系统周期解的存在性 |
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| 引用本文： | 张申贵.一类非自治p(t)-Laplace系统周期解的存在性[J].吉林大学学报(理学版),2015,53(1):9-14. |
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| 作者姓名： | 张申贵 |
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| 作者单位： | 西北民族大学 数学与计算机科学学院, 兰州 730030 |
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| 基金项目： | 国家自然科学基金，西北民族大学中央高校基本科研业务费专项基金 |
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| 摘 要： | 利用临界点理论研究非自治p(t)-Laplace系统周期解的存在性,先将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,再根据鞍点定理和极小作用原理,得到系统周期解存在的充分条件.
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| 关 键 词： | 周期解 p(t)-Laplace系统 临界点 |
| 收稿时间： | 2014-03-24 |
Existence of Periodic Solutions for a Class of Non-autonomous p (t)-Laplacian Systems |
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| ZHANG Shengui.Existence of Periodic Solutions for a Class of Non-autonomous p (t)-Laplacian Systems[J].Journal of Jilin University: Sci Ed,2015,53(1):9-14. |
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| Authors: | ZHANG Shengui |
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| Institution: | College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China |
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| Abstract: | Using critical point theory, the author studied the existence of periodic solutions for non autonomous p(t) Laplacian systems. We converted the periodic solutions of the system into the critical points of a functional defined on a proper space, and obtained some sufficient conditions for the existence of periodic solutions via saddle point theorem and the least action principle. |
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| Keywords: | periodic solution p (t)-Laplacian system critical point |
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