| 具可微卷积核的第二类Volterra积分方程的行列式级数解法 |
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| 引用本文： | 张石生,杨干山. 具可微卷积核的第二类Volterra积分方程的行列式级数解法[J]. 计算数学, 1988, 10(2): 146-157 |
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| 作者姓名： | 张石生 杨干山 |
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| 作者单位： | 四川大学数学系(张石生)，四川大学数学系(杨干山) |
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| 摘 要： | §1.引言 对具可微卷积核的第二类Volterra积分方程 y(x)=f(x)+λ integral from n=a to x(K(x-t)y(t)dt),(1)通常的解法有迭代法与Laplace变换法以及化为微分方程求解等.毫无疑义,这些方法对于方程(1)的求解是重要的.但这些方法也有其本质的缺点,即在求解过程中,往往涉
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ON THE SOLUTION BY DETERMINANTAL SERIES TO VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND WITH CONVOLUTION-TYPE KERNEL |
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| Affiliation: | Zhang Shi-sheng;Yang Gan-shan Sichuan University |
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| Abstract: | In this paper a solution by determinantal series to Volterra integral equations of the se-cond kind with convolution-type kernel is given. This new method can also be used to solvethe initial value problem of linear differential equations with constant coefficient. |
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