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| 弱连续映射的拓扑度理论及其应用 | |
| 引用本文： | 唐春雷,刘玲,从志坚.弱连续映射的拓扑度理论及其应用[J].西南师范大学学报(自然科学版),2002,27(4):459-464. |
| 作者姓名： | 唐春雷 刘玲 从志坚 |
| 作者单位： | 1. 西南师范大学数学系,重庆,400715 2. 重庆交通学院职业技术学院,重庆,400042 3. 楚雄师范高等专科学校中师部,云南,楚雄,675000 |
| 基金项目： | 国家自然科学基金 (198710 67)，教育部科学技术重点项目，高等学校优秀青年教师教学科研奖励计划 |
| 摘 要： | 用有限维逼近方法建立了从可分自反Banach空间到其对偶空间的弱连续映射的拓扑度理论。作为应用，证明了当受迫项的L^1范数充分小时受迫单摆方程至少有两个几何上不同的周期解。 |
| 关 键 词： | 弱连续映射 拓扑度理论 受迫单摆方程 周期解 可分自反Banach空间 有限维逼近方法 |
Topological Degree Theory for Weakly Continuous Mappings and Its Applications |
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| TANG Chun lei ,LIU Ling ,CONG Zhi jian Dept. of Mathematics,Southwest China Normal University,Chongqing ,China, School of Vocational Technique,Chongqing Jiaotong Institute,Chongqing ,China, Dept. of Teacher tra.Topological Degree Theory for Weakly Continuous Mappings and Its Applications[J].Journal of Southwest China Normal University(Natural Science),2002,27(4):459-464. | |
| Authors: | TANG Chun lei LIU Ling CONG Zhi jian Dept of Mathematics Southwest China Normal University Chongqing China School of Vocational Technique Chongqing Jiaotong Institute Chongqing China Dept of Teacher tra |
| Institution: | TANG Chun lei 1,LIU Ling 2,CONG Zhi jian 3 1 Dept. of Mathematics,Southwest China Normal University,Chongqing 400715,China, 2 School of Vocational Technique,Chongqing Jiaotong Institute,Chongqing 400042,China, 3 Dept. of Teacher tra |
| Abstract: | The topological degree theory is set up for weakly continuous mappings from a separable and reflexive Banach space into its dual space by using the idea of the fintis dimensional approximation. As an application we prove that the forced simple pendulum equation has at least two geometrically distinct periodic solutions when the L 1 norm of the forced term is sufficiently small. |
| Keywords: | weakly continuous mapping topological degree forced simple pendulum equation periodic solution |
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