ON A NEW INVERSED SOURCE PROBLEM

In this paper, we consider the relations between a boundary value problem of partial differential equa-tion of composite type and a new inversed source problem. Let Ω be an open convex set in R^2 with boundary which is a smooth closed curve, L= lies on as indicated in Figure 1.We denote the boundary value problem as;Problem A. Find function u(z,y) ∈c^3(Ω)∩c’ (Ω) ,satisfying;here function a, b, c, ,ψare all given functions. and express the considered inversed source problem as;problem B. Find functions pair (f(y),u(x,y)) such that u(x,y) ∈c^3 (Ω) ∈ c’ (Ω), f(y) ∈c[m,M],