Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 119
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we establish necessary and sufficient
conditions which an arbitrary minimal and complete system of eigenfunctions
and associated functions of a Sturm--Liouville operator with discontinuous
coefficients must satisfy in order to have the basis property in the sense
of V.A.~Il'in [1].
Classification :
34B25
@article{PIM_1985_N_S_38_52_a16,
author = {Neboj\v{s}a L. La\v{z}eti\'c},
title = {Necessary and {Sufficient} {Conditions} for a {System} of {Eigenfunctions} and {Associated} {Functions} of a {Sturm-liouville} {Operator} with {Discontinuous} {Coefficients} to {Possess} the {Basis} {Property}},
journal = {Publications de l'Institut Math\'ematique},
pages = {119 },
publisher = {mathdoc},
volume = {_N_S_38},
number = {52},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/}
}
TY - JOUR AU - Nebojša L. Lažetić TI - Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property JO - Publications de l'Institut Mathématique PY - 1985 SP - 119 VL - _N_S_38 IS - 52 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/ LA - en ID - PIM_1985_N_S_38_52_a16 ER -
%0 Journal Article %A Nebojša L. Lažetić %T Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property %J Publications de l'Institut Mathématique %D 1985 %P 119 %V _N_S_38 %N 52 %I mathdoc %U http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/ %G en %F PIM_1985_N_S_38_52_a16
Nebojša L. Lažetić. Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 119 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/