سال انتشار: ۱۳۹۰

محل انتشار: همایش منطقه ای پژوهشهای نوین در ریاضی

تعداد صفحات: ۶

نویسنده(ها):

Hosein Ansari – Depatment of mathematics,Islamic Azad university,Ahar Branch,Ahar,Iran.
Siavash ghorbanian – Depatment of mathematics,Islamic Azad university, Firoozkooh Branch.Firoozkooh, Iran

چکیده:

In the present paper we consider the Dirichlet problem for the differential-operator equation of the fourth order where , is a linear opeator in the separable Hilbert space and has a complete system of the eigenfunctins, which form a Riesz basis in We prove the existence and uniqueness of the generalized solution for the Dirichlet problem and give the description of the spectrum for the corresponding operator.