Asymptotic limits of the solutions of linear systems of functional-differential equations with linear and constant delays

DOI10.1007/S10958-022-05924-7zbMath1502.34074OpenAlexW4283029746WikidataQ115382084 ScholiaQ115382084MaRDI QIDQ2155038

D. V. Bel'skii, H. P. Pelyukh

Publication date: 15 July 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05924-7

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06)

Related Items (1)

Comparison theorems from the theory of monotone dynamical systems for linear systems of functional-differential equations with linearly transformed argument

Cites Work

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• Delay Differential Equations
• 2.—The Matrix Functional Differential Equation y′(x) = Ay(λx) + By(x)
• Asymptotic Bounds of Solutions of the Functional Differential Equation $x'(t) = ax(\lambda t) + bx(t) + f(t),\quad 0 < \lambda < 1$
• Solutions of systems of nonlinear functional-differential equations bounded in the entire real axis and their properties
• Asymptotic behaviour of functional-differential equations with proportional time delays

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