Abstract
In this paper, the following mixed boundary value problem for second-order system of differential equations of the elliptic type will be discussed to find the function u and v such that they satisfy: (1)[(100λ)∂2∂x2+(0λ-1λ-10)∂2∂x∂y+(λ001)∂2∂y2](uυ)+(d11(x,y)d12(x,y)d11(x,y)d12(x,y))[(1001)∂∂x+(0-110)∂∂y](uυ)=(f1f2)(2)u|c=g(z),(3)∂u∂x-∂u∂y|c=h(x),(7')∑-1∮c(∂u∂y+∂u∂x)σ(s)ds=k1,(13)u(z0)=k2 (13)The solution of this problem is found by means of the theory of generalized analytic function and the integral equation method for solving boundary value problems.
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