Stability of three-parameter systems of two linear differential equations with delay. Part~I
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2019-2054

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The system of two linear autonomous differential equations with a limited delay and a term without delay is considered. Complete classification of all three-parameter systems is obtained. For every such system the stability criterion in analytic and geometric form is obtained.
Keywords: system of differential equations with delay, autonomous equations, asymptotic stability, stability domain, D-subdivision method.
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     author = {M. V. Mulyukov},
     title = {Stability of three-parameter systems of two linear differential equations with delay. {Part~I}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {2019--2054},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a109/}
}
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M. V. Mulyukov. Stability of three-parameter systems of two linear differential equations with delay. Part~I. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2019-2054. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a109/