| 一类基尔霍夫型微分系统的周期解 |
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| 引用本文： | 张申贵.一类基尔霍夫型微分系统的周期解[J].山东大学学报(理学版),2019,54(10):1-6. |
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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, 甘肃 兰州 730030 |
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| 基金项目： | 国家自然科学基金资助项目(11401473);甘肃省科技计划资助项目(1610RJZA102);西北民族大学中央高校基本科研业务专项经费资助项目(31920180041) |
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| 摘 要： | 利用变分原理研究一类超线性基尔霍夫型p(t)-Laplace系统的周期解。在Ambrosetti-Rabinowitz型增长条件不满足时,根据变化的山路定理,得到了系统周期解的存在性结果。
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| 关 键 词： | 基尔霍夫型方程 p(t)-Laplace系统 周期解 临界点 山路定理 |
Periodic solutions for a class of Kirchhoff-type differential systems |
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| ZHANG Shen-gui.Periodic solutions for a class of Kirchhoff-type differential systems[J].Journal of Shandong University,2019,54(10):1-6. |
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| Authors: | ZHANG Shen-gui |
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| Affiliation: | College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China |
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| Abstract: | By using variational principle, the author studied periodic solutions for a class of superlinear Kirchhoff-type p(t)-Laplacian systems. Under the condition of no Ambrosetti-Rabinowitz-type growth, some results for the existence of periodic solutions are obtained by means of a variant mountain pass type theorem. |
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| Keywords: | Kirchhoff-type equation p(t)-Laplacian systems periodic solutions critical point mountain pass thoerem |
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