| 一类广义RLW方程的整体强解 |
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| 引用本文： | 范思贵 余秀萍. 一类广义RLW方程的整体强解[J]. 达县师范高等专科学校学报, 1995, 5(2): 39-44 |
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| 作者姓名： | 范思贵 余秀萍 |
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| 作者单位： | 河北张家口农业高专 |
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| 摘 要： | 本文考虑了广义ＲＬＷ方程ｕ１－ｕｘｘｔ＋ｆ（ｕ）ｘ＝ｈ１（ｘ，ｔ）＋ｈ２（ｘ，ｔ）ｕ＋ｈ２（ｘ，ｔ）ｕｘ＋ｂｕｘｘ的初边值问题，周期问题和初值问题。
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| 关 键 词： | 边值问题 广义 RLW方程 整体强解 |
The Global Strong Solutions for a Class of Generalized RLW Equation |
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| Fan cngui,Yu xiuping. The Global Strong Solutions for a Class of Generalized RLW Equation[J]. Journal of Daxian Teachers College, 1995, 5(2): 39-44 |
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| Authors: | Fan cngui Yu xiuping |
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| Affiliation: | Zhangjiakou Agricultural College |
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| Abstract: | In tkis paper we consider the initial - boundary value problem,the periodic problem and initial value probem for the gcncralized RLW equation ut-uxxt+ f (u) = h1(x. t) + h2 (x,t)u +h3 (x,t)ux+buuxx Suppose that,f,h1 h2,h3,and initial valuc u0 (x) satisfy somc conditions, we obtain the existence and uniqueness of the global strong solutions. |
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| Keywords: | RLW equation Galerkin's method priori estimation global strong solution |
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