Geodesic
Expansions in eigenfunctions of the $n$-th order differential operator with non-regular boundary conditions
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 2, pp. 10-14 
O. Yu. Dmitriev. Expansions in eigenfunctions of the $n$-th order differential operator with non-regular boundary conditions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 2, pp. 10-14. http://geodesic.mathdoc.fr/item/ISU_2007_7_2_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with the expansions in eigenfunctions of the $n$-th order differential operator with non-regular boundary conditions of special type. Necessary and sufficient conditions for existing of such expansions either on the interval $[0,1]$ or inside it are derived.

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