CONSTRUCTION OF SRABILITY DOMAINS FOR LINEAR DIFFERENTIAL EQUATIONS WITH DELAY
DOI:
https://doi.org/10.30888/2663-5712.2023-19-01-062Keywords:
delay differential equation, stability domain, argument principle, D-partition,Abstract
The aim of the present article is to investigate of solutions stability of linear autonomous differential equations with retarded argument. It is obtained the necessary and sufficient conditions, for all the roots of the characteristic equation to have nMetrics
References
Hale J.K. Theory of Functional Differential Equations. – New York: Springer, 1977. – 365 p.
El’sgol’ts L.E., Norkin S.B. Introduction to the theory and application of differential equations with deviating arguments. – New York and London: Academic Press, 1973. – 356 p.
Pinney E. Ordinary difference-differential equations. – Los Angeles: University of California Press, 1958. – 262 p.
Klevchuk I.I. Construction of stability domains for linear differential equations with many delays // Collect. sci. Works "Integral transformations and their applications to boundary value problems", 14, Kiev, 1997, P. 126 – 133.
Klevchuk I.I. Reduction of boundary value problems to difference and differential-difference equations // Nauk. Visn. Chernivets’kogo Univ., Math. – 2003. – No. 160, P. 80 – 83.
Klevchuk I.I., Pernay S.A., Cherevko I.M. Construction of stability domains for linear differential-difference equations // Reports of the National Academy of Sciences of Ukraine, 2012, No. 7. – P. 28 – 34.
Levitskaya I.S. Stability domain of a linear differential equation with two delays // Comput. Math. Appl. – 2006. – 51, No. 1. – P. 153 – 159.
Vaguina M. Yu., Kipnis M. M. Stability of the zero solution of delay differential equations // Math. Notes. – 2003. – 74, No. 5. – P. 740 – 743.
Klevchuk I.I., Hrytchuk M.V. Construction of stability domains for linear differential equations with several delays // Bukovinian Math. Journal. – 2022. – 10, No. 1. – P. 61 – 70.
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