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| 一类推广的干摩擦问题周期解的存在性 | |
| 引用本文： | 柴彦红,邵晶,曹雪梅.一类推广的干摩擦问题周期解的存在性[J].数学的实践与认识,2011,41(21). |
| 作者姓名： | 柴彦红 邵晶 曹雪梅 |
| 作者单位： | 1. 宁夏财经职业技术学院基础教研室,宁夏银川,750021 2. 济宁学院数学系,山东曲阜,273165 3. 曲阜师范大学附属中学,山东曲阜,273165 |
| 基金项目： | 教育部科学技术重点项目(209134); 宁夏自然科学基金(NZ1051) |
| 摘 要： | 为了得到干摩擦问题存在周期解的判断方法,利用微分包含理论对系统+k~2x+μSngp(t)+T(t)a.e.进行了讨论.在周期外力p(t)周期等于固有周期2π/R的情形下得到了周期解存在的充要条件,在周期外力p(t)周期不等于固有周期整数倍2nπ/R的情形下得到了周期解存在的充分条件. |
| 关 键 词： | 干摩擦问题 周期解 存在性 |
The Existence of Periodic Solutions of a Kind of Popularized Dry Friction Problem |
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| CHAI Yan-hong,SHAO Jing,CAO Xue-mei.The Existence of Periodic Solutions of a Kind of Popularized Dry Friction Problem[J].Mathematics in Practice and Theory,2011,41(21). | |
| Authors: | CHAI Yan-hong SHAO Jing CAO Xue-mei |
| Institution: | CHAI Yan-hong~1,SHAO Jing~2,CAO Xue-mei~3 (1.Ningxia Financial Institute of Vocation and Technology,The Fundamental Staff Room,Ningxia 750021,China) (2.Department of mathematics,Jining University,Shandong 273165,China) (3.The Middle School Attached To Qufu Normal University,China) |
| Abstract: | In order to explore a method to judge the existence of periodic solution for dry friction problem,the theory of differential indusion is used to discuss this problem based on the system + k~2x +μSngx p(t) +τ(t) a.e..the sufficient and necessary condition for the existence of periodic solution is obtained when the period of outside force p(t) is equal to(2π)/R, and the sufficient condition for the same problem is also obtained when the period of p(t) is unequal to(2nπ)/R |
| Keywords: | dry friction problems periodic solutions existence |
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