关于一类偶数阶偏微分方程边值问题 |
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引用本文: | 阿斯热古丽·卡德尔,肖开提·卡德尔.关于一类偶数阶偏微分方程边值问题[J].新疆师范大学学报(自然科学版),2011,30(4):68-70. |
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作者姓名: | 阿斯热古丽·卡德尔 肖开提·卡德尔 |
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作者单位: | 1. 新疆财经大学数学学院,新疆乌鲁木齐,820012 2. 新疆师范大学数学科学学院,新疆乌鲁木齐,830054 |
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摘 要: | 文章提出了一类偶数阶偏微分防方程及其第一类边值条件。先假设问题有两个u1(x,y)与u2(x,y),将两个解的差令u(x,y)=u1(x,y)-u2(x,y)后带入原方程与边值条件得到正项积分方程。由积分方程的性质得到解的唯一性。
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关 键 词: | 偶数阶偏微分方程 边值问题 解的唯一性 |
On a Class of Partial Differential Equations of Even Order |
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Institution: | ASIRAGU·KADIR,XAWKAT·KADIR(1.College of Math,Xinjiang Finance and Economics University,Urumqi,Xinjiang,820012,China; 2.College of Math Science,Xinjiang Normal University,Urumqi,Xinjiang,830054,China) |
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Abstract: | This paper presents a class of even--order partial differential equations and its first class of anti--boundary conditions. Assume that the problem has two solutions u1 (x,y) u2 (x,y) ,we will get the positive integral equation after taking the difference between the two solutionsu(x,y) = u1 (x,y) --u2 (x, y) into the original equation and the boundary conditions. And we will get uniqueness of solution by the nature of the integral equations. |
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Keywords: | Even--order partial differential equations Boundary value problem Uniqueness of solution |
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