| 一类卷积型微分方程的极小化问题 |
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| 引用本文： | 张慎学.一类卷积型微分方程的极小化问题[J].吉林大学学报(理学版),1996(1). |
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| 作者姓名： | 张慎学 |
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| 作者单位： | 吉林大学数学系 |
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| 摘 要： | 通过定义在一个实Ｂａｎａｃｈ空间上的有势算子对耦合变量的分离，对一类卷积型微分方程边值问题给出了极小化方法．建立了关于Ｌａｐｌａｃｅ变换的转换最小值原理和在原空间－时间域的加权最小值原理．
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| 关 键 词： | 边值问题，极小化，势算子，耦合变量 |
The Minimization Problem for a Class of Differential Equations with Convolution |
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| Zhang Shenxue.The Minimization Problem for a Class of Differential Equations with Convolution[J].Journal of Jilin University: Sci Ed,1996(1). |
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| Authors: | Zhang Shenxue |
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| Abstract: | A method of minimization to a class of boundary-value problems of differential equations with convolution is given by using potential operator defined in a real Banach space, separating coupled variable; the transformed minimum principle on Laplace transformation and the weighted minimum principle in original place-time domain are established. |
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| Keywords: | boundary-value problems minimization potential operator coupled variable |
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