integral operators

Some inverse problem remarks of a continuous-in-time financial model in L^1([t_I,Theta_{max}])

In the paper we are going to introduce an operator that is involved in the inverse problem of the continuous-in-time financial model.  This framework is designed to be used in the finance for any organization and, in particular, for local communities.  It allows to set out annual and multiyear budgets, with describing loan, reimbursement and interest payment schemes.  We discuss this inverse problem in the space of integrable functions over $\mathbb{R}$ having a compact support.  The concept of ill-posedness is examined in this space in order to obtain interesting and u