• SEPARATION OF THE GENERAL TRICOMI DIFFERENTIAL OPERATOR IN HILBERT SPACE AND ITS APPLICATION

Abstract

In this article, we separate the differential operator of the form for all in the Hilbert space with the operator potential where is the space of all bounded operators on an arbitrary Hilbert space and is the general tricomi operator on . Moreover, we study the existence and uniqueness of the solution of the differential equation
in the Hilbert space , where , as an application of this separation.