Two-sided estimates for solutions to the Cauchy problem for Wazewski linear differential systems with delay

DOI10.1134/S0037446613060153zbMath1293.34097OpenAlexW2051015311WikidataQ58229022 ScholiaQ58229022MaRDI QIDQ2436106

Nikolay Viktorovitch Pertsev

Publication date: 21 February 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446613060153

zbMATH Keywords

exponential stabilityM-matrixexponential estimatePerron rootquasi-nonnegative matrixSevast'yanov-Kotelyanskiĭ criterionWażewski linear differential systems with delay

Mathematics Subject Classification ID

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

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Application of differential equations with variable delay in the compartmental models of living systems ⋮ Analysis of an epidemic mathematical model based on delay differential equations ⋮ Study of solutions of a continuous-discrete model of HIV infection spread ⋮ Exponential decay estimates for some components of solutions to the nonlinear delay differential equations of the living system models ⋮ Construction of the Lyapunov-Krasovskii functionals for some classes of positive delay systems ⋮ Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations ⋮ Matrix stability and instability criteria for some systems of linear delay differential equations

Cites Work

• Stability of solutions of autonomous Ważewski systems with delayed action
• Theory of functional differential equations. 2nd ed
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