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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 10–23 (Mi ivm7168)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximating characteristic equations for autonomous systems of differential equations with aftereffect

D. S. Bykov, Yu. F. Dolgii

Department of Differential Equations, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
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Abstract: In this paper we construct approximating polynomial characteristic equations for a linear autonomous system with aftereffect. The procedures for constructing approximating characteristic equations use analytic representations of resolvents of infinitesimal operators and the theory of characteristic determinants and perturbation determinants in a separable Hilbert space.
Keywords: differential equation with aftereffect, infinitesimal operators, resolvent, characteristic equation, approximation, characteristic determinant, perturbation determinant.
Received: 04.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 7–18
DOI: https://doi.org/10.3103/S1066369X11010026
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: D. S. Bykov, Yu. F. Dolgii, “Approximating characteristic equations for autonomous systems of differential equations with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 10–23; Russian Math. (Iz. VUZ), 55:1 (2011), 7–18
Citation in format AMSBIB
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\paper Approximating characteristic equations for autonomous systems of differential equations with aftereffect
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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