| INITIAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO－PARTIAL DIFFERENTIAL EQUATIONS |
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| 引用本文： | 崔尚斌,屈长征.INITIAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO－PARTIAL DIFFERENTIAL EQUATIONS[J].应用数学和力学(英文版),1994,15(4):389-404. |
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| 作者姓名： | 崔尚斌 屈长征 |
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| 作者单位： | Cui Shang-bin (Dept. of Math.,Lanzhou Univ).,LanzhouQu Chang-zheng (Dept. of Math.,Northwest Univ).,Xi’an |
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| 摘 要： | ＩＮＩＴＩＡＬＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＦＯＲＡＣＬＡＳＳＯＦＮＯＮＬＩＮＥＡＲＩＮＴＥＧＲＯ－ＰＡＲＴＩＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＣｕｉＳｈａｎｇ－ｂｉｎ（崔尚斌）（Ｄｅｐｔ．ｏｆＭａｔｈ．,ＬａｎｚｈｏｕＵｎｉ...
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| 收稿时间： | 6 November 1992 |
Initial boundary value problems for a class of nonlinear integro-partial differential equations |
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| Cui Shang-bin,Qu Chang-zheng.Initial boundary value problems for a class of nonlinear integro-partial differential equations[J].Applied Mathematics and Mechanics(English Edition),1994,15(4):389-404. |
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| Authors: | Cui Shang-bin Qu Chang-zheng |
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| Institution: | 1. Dept. of Math., Lanzhou Univ., Lanzhou;
2. Dept. of Math., Northwest Univ., Xi’an |
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| Abstract: | This paper studies the global existence of the classical solutions to the following problem:
This problem describes the nonlinear vibrations of finite rods with nonlinear viscoelasticity. Under certain conditions on
σ and f, we obtained the unique existence of the global classical solution of this problem. |
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| Keywords: | integro-partial differential equation initial value problem global classical solution |
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