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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 38–44
(Mi ivm8826)
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This article is cited in 2 scientific papers (total in 2 papers)
On factorization of the characteristic quasipolynomial of a system of linear differential equations with delay
M. V. Mulyukov Chair of Computational Mathematics and Mechanics, State National Reserach Polytechnical University of Perm, 29 Komsomol'skii Ave., Perm, 614000 Russia
Abstract:
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.
Received: 13.06.2012
Citation:
M. V. Mulyukov, “On factorization of the characteristic quasipolynomial of a system of linear differential equations with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 38–44; Russian Math. (Iz. VUZ), 57:9 (2013), 31–36
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https://www.mathnet.ru/eng/ivm8826 https://www.mathnet.ru/eng/ivm/y2013/i9/p38
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Abstract page: | 377 | Full-text PDF : | 117 | References: | 80 | First page: | 3 |
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