Geodesic
The first-approximation stability of a~nonstationary system with delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2012), pp. 34-42

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We study the exponential stability of a nonlinear system of differential equations with constant delay such that the right-hand side of one of its subsystems contains the multiplier $e^t$. We obtain a sufficient condition for the first-approximation stability of this system.
Keywords: instability, asymptotic stability, exponential estimation, first approximation. 
@article{IVM_2012_2_a3,
     author = {B. G. Grebenshchikov},
     title = {The first-approximation stability of a~nonstationary system with delay},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {34--42},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_2_a3/}
}
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B. G. Grebenshchikov. The first-approximation stability of a~nonstationary system with delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2012), pp. 34-42. http://geodesic.mathdoc.fr/item/IVM_2012_2_a3/