Geodesic
On analogue of Jordan–Dirichlet theorem about the convergence of the expansions in eigenfunctions of a certain class of differential-difference operators
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 26-32 
V. A. Khalova. On analogue of Jordan–Dirichlet theorem about the convergence of the expansions in eigenfunctions of a certain class of differential-difference operators. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 26-32. http://geodesic.mathdoc.fr/item/ISU_2010_10_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An analogue of Jordan–Dirichlet theorem is established of convergence of the expansions in eigen functions of the operator $Ly=\alpha y'(x)-y'(1-x)$ with the boundary condition $U(y)=ay(0)+by(1)-(y,\varphi)=0$.

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