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
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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.
@article{ISU_2007_7_2_a2,
author = {O. Yu. Dmitriev},
title = {Expansions in eigenfunctions of the $n$-th order differential operator with non-regular boundary conditions},
journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
pages = {10--14},
year = {2007},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ISU_2007_7_2_a2/}
}
TY - JOUR AU - O. Yu. Dmitriev TI - Expansions in eigenfunctions of the $n$-th order differential operator with non-regular boundary conditions JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2007 SP - 10 EP - 14 VL - 7 IS - 2 UR - http://geodesic.mathdoc.fr/item/ISU_2007_7_2_a2/ LA - ru ID - ISU_2007_7_2_a2 ER -
%0 Journal Article %A O. Yu. Dmitriev %T Expansions in eigenfunctions of the $n$-th order differential operator with non-regular boundary conditions %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2007 %P 10-14 %V 7 %N 2 %U http://geodesic.mathdoc.fr/item/ISU_2007_7_2_a2/ %G ru %F ISU_2007_7_2_a2
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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