Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 323-335
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A. Ya. Kazakov. Integral symmetries, integral invariants, and monodromy matrices for ordinary differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 323-335. http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a0/
@article{TMF_1998_116_3_a0,
author = {A. Ya. Kazakov},
title = {Integral symmetries, integral invariants, and monodromy matrices for ordinary differential equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--335},
year = {1998},
volume = {116},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a0/}
}
TY - JOUR
AU - A. Ya. Kazakov
TI - Integral symmetries, integral invariants, and monodromy matrices for ordinary differential equations
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1998
SP - 323
EP - 335
VL - 116
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a0/
LA - ru
ID - TMF_1998_116_3_a0
ER -
%0 Journal Article
%A A. Ya. Kazakov
%T Integral symmetries, integral invariants, and monodromy matrices for ordinary differential equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 323-335
%V 116
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a0/
%G ru
%F TMF_1998_116_3_a0
We consider the transfer and monodromy matrices for the degenerate Heun equation. We use an auxiliary ordinary third-order linear differential equation that is “stable” under the integral Euler transformation. We find the invariant of this transformation and express it via the transfer matrix element.