| 某类具有奇性系数的二阶线性复方程的广义Riemann—Hilbert问题 |
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| 引用本文： | 曾岳生.某类具有奇性系数的二阶线性复方程的广义Riemann—Hilbert问题[J].怀化学院学报,1986(Z1). |
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| 作者姓名： | 曾岳生 |
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| 摘 要： | <正> 在边界г=(?)G∈C~(2,λ),0<λ<1的平面有界区域G(0∈G)中,考察下列二阶线性复方程 (1)这里都是G内的解析函数,且α(z),β(z)∈C~(1,λ)(G),0<λ<1,α(0)≠0,β(0)≠0,f(z)是已知的复值连续函数。 显然,文中研究过的下列方程 (2),它是方程(1)中β(y)=1时的特殊情形。本文将建立方程(1)的在G内满足下述条件的
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The generalized Riemann—Hilbert problem for second order linear complex equation with singular coefficient |
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| Abstract: | In this paper, we consider the generalized Ricmann-Hilbert Probem of the follwing second order linear complex equation
with the boundary conditions
we obtain the definite solutions of the problem, also find the necessary and sufficient
conditions for the solvability of above boundary value problem. The relation between
indices and number of linearly of linearly independent solutions has been obtained. |
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