Differential equations of fourth order on infinite interval

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Showing Abstract of Differential equations of fourth order on infinite interval

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Title	Differential equations of fourth order on infinite interval
Topic:		Published Year:	1390
Presentation:		Published in:	[ Regional Conference on Recent Researchs in Mathematics ]
Original Language:	English	Full Text Size:	Not Available

Abstract of the Article

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Differential equations of fourth order on infinite interval

Authors:

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

Abstract:

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.

Keywords:

Dirichlet problem, weighted Sobolev spaces, differential equations in abstract spaces, spectrum of the linear operator

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