### ASYMPTOTIC PROPERTIES OF SOME NEUTRAL TYPE SYSTEMS WITH LINEAR DELAY

#### Abstract

#### Keywords

#### Full Text:

PDF (Русский)#### References

Polyanin A.D., Sorokin V.G., Zhurov A.I. Delay Differential Equations. Properties, solutions and model. Moscow, Publishing "IPMech~RAS", 2022. (in Russian)

Grebenshchikov B.G., Rozhkov V.I. Asymptotic Behavior of the Solution of a Stationary System with Delay. Differential Equations, 1993, Vol. 29, no. 5, pp. 640–647.

Carr J., Dyson J. The matrix functional-differential equation $y'(x)=Ay(lambda x)+By(x)$. Proceedings of the Edinburgh Mathematical Society, 1976, vol. 74, pp.165--174.

Ockendon J.R, Tayler A.B. The Dynamics of a Current Collection System for an Electric Locomotive. Proceedings of the Royal Society of London A, 1971, vol. 322, issue 1551, pp. 447–468. DOI: 10.1098/rspa.1971.0078.

Kolmanovsky V.B., Nosov V.R. [Stability and Periodic Regimes of Controllable Systems With Aftereffect.}] Moscow, Nauka, 1981. (in Russian)

Grebenshchikov B.G., Zagrebina S.A., Lozhnikov A.B. On Approximate Stabilization of One Class of Neutral Type Systems Containing Linear. Proceedings of VSU. Series: Systems Analysis And Information Technologies, 2023, no. 4, pp. 31--42.

Lancaster P. Theory of Matrices. Cambridge, Academic Press, 1969.

Halanay A., Wexler D. Teoria Calitativa a Sistemelor cu Impulsuri. Bucharest, Academiei Republicii Socialiste Romania, 1971. (in Romanian)

Elsgolts L.E., Norkin S.B. [Introduction to the Theory of Differential Equations With Deviating Argument]. Moscow, Nauka, 1971. (in Russian)

Grebenshchikov B.G., The Non-Stability of a Stationary System with a Linear Delay. Izvestiya Ural'skogo Gosudarstvennogo Universiteta. Seriya: Matematika I Mekhanika, 1999, no. 2 (14), pp. 29--36. (in Russian)

Repin Yu.M. On the Stability of a Solution to Delay Differential Equations. Journal of Applied Mathematics and Mechanics, 1957, vol. 21, no. 2, pp. 263--261. (in Russian)

Barbashin E.A. [Introduction to the Theory of Stability]. Moscow, Nauka, 1967. (in Russian)

Bylov B.F., Vinograd R.E., Grobman D.M., Nemytskii V.V. [Theory of Lyapunov Exponents and its Application to Stability Problems]. Moscow, Nauka, 1966. (in Russian)

Grebenshchikov B.G. The First-Approximation Stability of a Nonstationary System with Delay. Russian Mathematics, 2012, vol. 56, no. 2, pp. 29--36. DOI: 10.3103/S1066369X12020041.

### Refbacks

- There are currently no refbacks.