Geodesic
The Riesz bases consisting of eigen and associated functions for a~functional differential operator with variable structure
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 39-52

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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 $L^3_2[0,1]$.
Keywords: Riesz basis, resolvent, eigenfunction, boundary condition, regularity. 
@article{IVM_2010_2_a4,
     author = {V. P. Kurdyumov and A. P. Khromov},
     title = {The {Riesz} bases consisting of eigen and associated functions for a~functional differential operator with variable structure},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {39--52},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_2_a4/}
}
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V. P. Kurdyumov; A. P. Khromov. The Riesz bases consisting of eigen and associated functions for a~functional differential operator with variable structure. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 39-52. http://geodesic.mathdoc.fr/item/IVM_2010_2_a4/