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},
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}
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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/