一阶线性椭圆型偏微方程组的R-DR-D^2R-H-DH-D^2H复合边值问题  

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

作　　者：田大增[1] 

机构地区：[1]河北大学物理科学与技术学院,河北保定071002

出　　处：《保定师范专科学校学报》2006年第2期1-5,14,共6页Journal of Baoding Teachers College

基　　金：国家自然科学基金(10471149);河北省科学技术研究与发展课题(03213501);河北大学重点资助课题(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RD-RD-2RH-D-HD-2H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条件.The R-DR-D^2R-H-DH-D^2H compound boundary value problem for elliptic partical differential equation system of first order with the boundary condition including second order partical derivate is studied. This problem is solved by the method of elimination. It is changed into equivalent Hilbert boundary value problem for genaralized 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-DR-D^2R-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]