The Riesz bases consisting of eigen and associated functions for a~functional differential operator with variable structure

V. P. Kurdyumov ; A. P. Khromov

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 39-52.

Résumé

We consider a functional differential operator of variable structure with an integral boundary condition. We prove that its eigen and associated functions form a Riesz basis with brackets in the space $L^3_2[0,1]$.

Détail

Keywords: Riesz basis, resolvent, eigenfunction, boundary condition, regularity.

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