Geodesic
Approximating characteristic equations for autonomous systems of differential equations with aftereffect
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 10-23

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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
Mots-clés : perturbation determinant. 
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     author = {D. S. Bykov and Yu. F. Dolgii},
     title = {Approximating characteristic equations for autonomous systems of differential equations with aftereffect},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {10--23},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_1_a1/}
}
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D. S. Bykov; Yu. F. Dolgii. Approximating characteristic equations for autonomous systems of differential equations with aftereffect. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 10-23. http://geodesic.mathdoc.fr/item/IVM_2011_1_a1/