Geodesic
Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 12-21

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We prove that the eigenfunctions of an ordinary differential operator with regular Stieltjes boundary conditions form a Riesz basis in $L_2[0,1]$, The definition of the regularity for the Stieltjes boundary conditions is given in this paper. 
@article{VMUMM_1982_6_a3,
     author = {A. A. Shkalikov},
     title = {Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {12--21},
     publisher = {mathdoc},
     number = {6},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a3/}
}
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A. A. Shkalikov. Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 12-21. http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a3/