Department of Mathematics, Payame Noor University, PO Box 19395-3697 Tehran, I. R. of Iran.
Abstract
In this paper ill-posed linear inverse problems that arises in many applications is considered. The instability of special kind of these problems and it's relation to the kernel, is described.
For finding a stable solution to these problems we need some kind of regularization that is presented. The results have been applied for a singular equation.