On factorization of the characteristic quasipolynomial of a~system of linear differential equations with delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 38-44
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We establish a factorization criterion for the characteristic quasipolynomial of a system of two linear autonomous differential equations with delay. On the base of this criterion we obtain several criteria of the asymptotic stability.
Keywords:
system with delay, factorization of quasipolynomial, asymptotic stability.
@article{IVM_2013_9_a4,
author = {M. V. Mulyukov},
title = {On factorization of the characteristic quasipolynomial of a~system of linear differential equations with delay},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {38--44},
publisher = {mathdoc},
number = {9},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2013_9_a4/}
}
TY - JOUR AU - M. V. Mulyukov TI - On factorization of the characteristic quasipolynomial of a~system of linear differential equations with delay JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2013 SP - 38 EP - 44 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2013_9_a4/ LA - ru ID - IVM_2013_9_a4 ER -
%0 Journal Article %A M. V. Mulyukov %T On factorization of the characteristic quasipolynomial of a~system of linear differential equations with delay %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2013 %P 38-44 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2013_9_a4/ %G ru %F IVM_2013_9_a4
M. V. Mulyukov. On factorization of the characteristic quasipolynomial of a~system of linear differential equations with delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 38-44. http://geodesic.mathdoc.fr/item/IVM_2013_9_a4/