| 一阶隐方程的周期解的存在性 |
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| 引用本文： | 徐明习.一阶隐方程的周期解的存在性[J].青岛大学学报(自然科学版),1994,7(1):18-28. |
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| 作者姓名： | 徐明习 |
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| 作者单位： | 青岛大学数学系 |
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| 摘 要： | 本文利用度理论及Ｆｒｅｄｈｏｌｍ算子研究了一阶隐方程ｘ＇＝ｆ（ｔ，ｘ，ｘ＇），ｘ（０）＝ｘ（２π）的周期解，广义周期解的存在性，得到了两个存在性定理，其中定理４．１推广了Ｊ．Ｊ．Ｎｉｅｔｏ［１］中的结果．
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| 关 键 词： | 周期解 隐方程 Fredholm算子 Brouwer度 |
EXISTENCE OF PERIODIC SOLUTIONS FOR FIRST ORDER IMPLICIT DIFFERENTIAL EQUATIONS |
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| Xu Mingxi.EXISTENCE OF PERIODIC SOLUTIONS FOR FIRST ORDER IMPLICIT DIFFERENTIAL EQUATIONS[J].Journal of Qingdao University(Natural Science Edition),1994,7(1):18-28. |
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| Authors: | Xu Mingxi |
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| Abstract: | n this paper, we study the periodic boundary value problem for first order implicit differential equations by using degree theory and Fredholm operators. Two theorems about periodic solutions are obtained and one of them generalizes the main result in 1]. |
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| Keywords: | eriodic solutions implicit differential equations fredholm operator Brouwer degree |
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