| 具有转向点的非线性系统的奇异摄动 |
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| 引用本文： | 张汉林,张和平.具有转向点的非线性系统的奇异摄动[J].上海大学学报(英文版),1999,3(1):77-80. |
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| 作者姓名： | 张汉林 张和平 |
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| 作者单位： | Zhang Hanlin (Computer Institute，Beijing Polytechnic University) Zhang Heping (Beijing Electric Power College) |
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| 摘 要： | １ Ｉｎｔｒｏｄｕｃｔｉｏｎ Ｓｉｎｇｕｌａｒｌｙｐｅｒｔｕｒｂｅｄｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗｉｔｈｔｕｒｎｉｎｇｐｏｉｎｔｓａｒｅｖｅｒｙｉｍｐｏｒｔａｎｔｆｏｒｍａｔｈｅｍａｔｉｃｉａｎｓａｎｄｐｈｙｓｉｃｉｓｔｓｓｉｎｃｅｔｈｅｓｅｐｒｏｂｌｅｍｓｅｘｉｓｔｗｉｄｅｌｙｉｎｍａｎｙｐｒｏｂｌｅｍｓｏｆｐｈｙｓｉｃｓ．ＴｈｅｐｒｏｂｌｅｍｓｗｉｔｈｔｕｒｎｉｎｇｐｏｉｎｔｓｗｅｒｅｓｔｕｄｉｅｄｂｙＷｅｎｔｚａｌ，Ｋｒａｍｅｒｓ，Ｂｕｌｌｏｕｎｉｎ［１］，Ｌａｎｇｅｒ，Ａ…
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| 收稿时间： | 14 March 1998 |
On the singular perturbation of nonlinear systems with turning points |
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| Hanlin Zhang,Heping Zhang.On the singular perturbation of nonlinear systems with turning points[J].Journal of Shanghai University(English Edition),1999,3(1):77-80. |
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| Authors: | Hanlin Zhang Heping Zhang |
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| Institution: | 1. Computer Institute, Beijing Polytechnic University
2. Beijing Electric Power College |
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| Abstract: | In this paper we consider the asymptotic behavior of boundary value problems of nonliner systems εy″ = F(t,y,y′ε), −1<t<1, y(−1, ε) = A, y(1, ε) = B when F possesses a generalized turning point at t = 0. The interior layer phenomenon of the problem is discussed. |
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| Keywords: | turning point interior layer boundary laryer boundary value problem (BVP) differential inequalities |
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