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广义解析函数的RD~2 H复合边值问题(英文)
THE RD~2 H COMPOUND BOUNDARY VALUE PROBLEM FOR GENERALIZED ANALYTIC FUNCTION
【摘要】 研究了一阶线性椭圆型偏微分方程的边界条件中含有二阶微商的RD2 H复合边值问题 ,利用消去法将其化为等价的广义解析向量的Hilbert边值问题 ,并利用奇异积分方程组的理论给出了问题的可解性结果
【Abstract】 The RD 2H compound boundary value problem for the elliptic partial differential equation system of first order with the boundary condition including second order derivate is studied.This problem is solved by the method of elimination.It is changed into equivalent Hilbert boundary value problem for generalized analytic vector functions.With the help of the theory singular integral equation system,solvable result is also given.
【关键词】 椭圆型方程组;
奇异积分方程组;
RD~2 H复合边值问题;
广义解析向量函数;
【Key words】 elliptic equation system; singular integral equation system; RD 2H compound boundary value problem; generalized analytic vector function;
【Key words】 elliptic equation system; singular integral equation system; RD 2H compound boundary value problem; generalized analytic vector function;
【基金】 SupportedbytheNaturalScienceFoundationofHebeiProvince!(10 0 0 6 9)
- 【文献出处】 宁夏大学学报(自然科学版) ,JOURNAL OF NINGXIA UNIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,2000年01期
- 【分类号】O174
- 【下载频次】17