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-D^2H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.