Operator theoretical proof of the Arnold alternation theorem and its generalization
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 119-125
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A generalization of the Arnold alternation theorem and the Sturm oscillation theorem in the case of general boundary conditions, both in the context of operator differential equations, are obtained.
@article{JMAG_2005_12_1_a8,
author = {F. S. Rofe-Beketov},
title = {Operator theoretical proof of the {Arnold} alternation theorem and its generalization},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {119--125},
year = {2005},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a8/}
}
TY - JOUR AU - F. S. Rofe-Beketov TI - Operator theoretical proof of the Arnold alternation theorem and its generalization JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2005 SP - 119 EP - 125 VL - 12 IS - 1 UR - http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a8/ LA - ru ID - JMAG_2005_12_1_a8 ER -
F. S. Rofe-Beketov. Operator theoretical proof of the Arnold alternation theorem and its generalization. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 119-125. http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a8/