Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (1): 58-64.
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Chen Qingxiang
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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:[(100λ)(∂2)/(∂x2)+(λ-100λ-1)(∂2)/(∂x∂y)+(λ010(∂2)/(∂y2)](vu)+(d21(x,y)d11(x,y)d22(x,y)d12(x,y))[1001(∂/∂x)+(01-10)(∂/∂y)](vu)=(f2f1)(1)u|c=g(z),(2)Σ-1fc((∂u)/(∂y)+(∂v)/(∂x))δ(s)ds=k1,(7')v(zη)=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.
Key words: elliptic type, differential eguation, boundary value problem
Chen Qingxiang. MIXED BOUNDARY VALUE PROBLEM FOR SECOND-ORDER SYSTEM OF DIFFERENTIAL EQUATIONS OF THE ELLIPTIC TYPE[J].Acta mathematica scientia,Series B, 1995, 15(1): 58-64.
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