| 一类p-Laplacian方程周期解的存在唯一性 |
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| 引用本文： | 严树林,;李志艳,;葛渭高.一类p-Laplacian方程周期解的存在唯一性[J].江苏科技大学学报(社会科学版),2014(3):303-306. |
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| 作者姓名： | 严树林 ;李志艳 ;葛渭高 |
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| 作者单位： | [1]常州工程职业技术学院基础部,江苏常州213164; [2]河海大学常州校区数理部,江苏常州213022; [3]北京理工大学数学学院,北京100081 |
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| 基金项目： | 国家自然科学基金资助项目（11071014） |
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| 摘 要： | 利用 Man＆#225;sevich-Mawhin 连续定理研究一类二阶 p-Laplacian 方程（p（x＇））＇= f（t，x，x＇）- e（t）周期解的存在与唯一性，在非线性项 f = g ＋ h 分别满足一定增长性的条件下，得到了一个新的周期解存在唯一性定理。
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| 关 键 词： | p-Laplacian 算子 周期解 马拉舍维奇 - 马文连续定理 |
Existence and uniqueness of periodic solutions for a class of equations with p - Laplacian operators |
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| Affiliation: | Yan Shulin, Li Zhiyan, Ge Weigao ( 1. Department of Basic Course, Changzhou Institute of Engineering Technology, Changzhou Jiangsu 213164, China) (2. Department of Mathematics and Physics, Changzhoa Campus of Hohai University, Changzhou Jiangsu 213022, China) (3. College of Mathematics, Beijing Institute of Technology, Beijing 100081, China) |
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| Abstract: | By using Man＆#225;sevich-Mawhin continuation theorem,the existence and uniqueness of a class of sec-ond-order p-Laplacian equations（p（x＇））＇ = f（t,x,x＇）- e（t）are studied. Under the assumptions of nonlinear term f = g ＋ h,where g and h satisfy some increasing conditions,sufficient conditions for the existence and u-niqueness of periodic solutions for the equations are obtained. |
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| Keywords: | p-Laplacian operator perodic solution Manasevich-Mawhin continuation theorem |
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