| 关于Lagrange方程周期解的注记 |
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| 引用本文： | 唐春雷.关于Lagrange方程周期解的注记[J].西南师范大学学报(自然科学版),1994,19(6):571-574. |
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| 作者姓名： | 唐春雷 |
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| 作者单位： | 西南师范大学数学系 |
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| 摘 要： | 弥补了Ｊ．Ｍａｗｈｉｎ与Ｍ．ｗｉｌｌｅｍ关于Ｌａｇｒａｎｇｅ方程周期解的几个存在性定理的疏漏（Ｊ．ＭａｗｈｉｎａｎｄＭ．ｗｉｌｌｅｍ．ＣｒｔｉｃｌａｐｏｉｎｔｔｈｅｏｒｙａｎｄＨａｍｉｌｔｏｎｉａｎｓｙｓｔｅｍｓ．ＮｅｗＹｏｒｋＢｅｒｌｉｎＨｅｉｄｅｌｂｅｒｇＬｏｎｄｏｎＰａｒｉｓＴｏｋｙｏ：Ｓｐｒｉｎｇｅｒ－Ｖｅｒｌａｇ，１９８９．），并给出了第一个结果的变分法证明．
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| 关 键 词： | 弱解 弱下半连续 拉格朗日方程 周期解 |
REMARKS ON PERIODIC SOLUTIONS OF THE LAGRANGE EQUATIONS |
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| Tang Chunlei.REMARKS ON PERIODIC SOLUTIONS OF THE LAGRANGE EQUATIONS[J].Journal of Southwest China Normal University(Natural Science),1994,19(6):571-574. |
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| Authors: | Tang Chunlei |
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| Abstract: | We make up here some careless omissions about J.Mawhin and M. Willem's existence theoremsof periodic solutions for the Lagrange equations( see J.Mawhin and M. Willem. Critical Point Theoryand Hamiltonian Systems. New York Berlin Heidelberg London Paris Tokyo:Springer-Verlag,1989),and give out a proof of the first result with the calculus of the variations. |
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| Keywords: | weak solution weakly lower semicontinuous Sobolev's inequality minimizing se-quence minimum point |
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