Existence and uniqueness solution of an inverse problems for degenerate differential equations
نویسندگان
چکیده
In this paper we concerned with study existence and uniqueness of solutions for a class of inverse problems of degenerate differential equations.The main tool perturbation theory for linear operators. consider the inverse problems for degenerate differential equations of the form dBu(t) dt = Au(t) +Bγ(t)f(t), with the initial condition u(0) = u0 and the overdetermination condition (u(t), v) = w(t) where A and B are closed linear operators in a Hilbert space H,f is a given abstract function with values in H,v is a given element in H,u0 is an initial value,and {u, γ} are the unknown functions.
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