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

Saleh Omran*, Khaled Gepreel, Sayed Khalil

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.

Keywords


Separation; Tricomi differential operator; Hilbert space; Coercive estimate.

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