一阶线性椭圆型偏微分方程组的R-H-DH-D^2H复合边值问题  

The R-H-DH-D^2H Compound Boundary Value Problem for Elliptic Partial Differential Equation System of First Order

作　　者：田大增[1] 孟俊霞[2] 高红亚[2] 李子植[2] 

机构地区：[1]河北大学物理科学与技术学院,河北保定071002 [2]河北大学数学与计算机学院,河北保定071002

出　　处：《宁夏大学学报（自然科学版）》2006年第2期132-136,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471149);河北省科学技术研究与发展基金资助项目(03213501);河北大学重点课题资助项目(2003Z12)

摘　　要：研究了一阶线性椭圆型偏微分方程组的边界条件中含有二阶偏导数的R-H-DH-D2H复合边值问题,利用消去法将该问题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理论给出了问题的可解性条件.The R-H-DH-D^2H compound boundary value problem for elliptic partial differential equation system of first order with the boundary condition including second order partial 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 function. With the help of the theory singular integral equation system, solvable conditions are also given.

关 键 词：椭圆型方程组 R-H-DH-D^2H复合边值问题 奇异积分方程组 广义解析向量函数 

分 类 号：O175.8[理学—数学]