Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem
Sbornik. Mathematics, Tome 18 (1972) no. 3, pp. 425-471
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Results obtained by the author in RZhMat., 1972, 6B684 are generalized to the case of a countable set of indices $\mathfrak N$. This allows the author to find necessary and sufficient conditions for the existence of a system of boundary-value problems with simple spectrum, having a given set of eigenvalues and weight numbers.
Bibliography: 10 titles.
@article{SM_1972_18_3_a4,
author = {Z. I. Leibenzon},
title = {Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem},
journal = {Sbornik. Mathematics},
pages = {425--471},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {1972},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1972_18_3_a4/}
}
TY - JOUR AU - Z. I. Leibenzon TI - Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem JO - Sbornik. Mathematics PY - 1972 SP - 425 EP - 471 VL - 18 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1972_18_3_a4/ LA - en ID - SM_1972_18_3_a4 ER -
%0 Journal Article %A Z. I. Leibenzon %T Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem %J Sbornik. Mathematics %D 1972 %P 425-471 %V 18 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1972_18_3_a4/ %G en %F SM_1972_18_3_a4
Z. I. Leibenzon. Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem. Sbornik. Mathematics, Tome 18 (1972) no. 3, pp. 425-471. http://geodesic.mathdoc.fr/item/SM_1972_18_3_a4/