Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations

DOI10.33048/semi.2021.18.100zbMath1475.34047OpenAlexW4205660045WikidataQ115222234 ScholiaQ115222234MaRDI QIDQ2058340

Nikolay Viktorovitch Pertsev, Konstantin Konstantinovich Loginov

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.100

zbMATH Keywords

nonnegative matrixdelay differential equationnonsingular M-matrixcomponent-wise exponentially decreasing estimateslinear and nonlinear mathematical models of living systemssystems of Wazewski differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) General biology and biomathematics (92B05)

Related Items (1)

ESTIMATES FOR SOLUTIONS FOR ONE MODEL OF POPULATION DYNAMICS WITH DELAY

Cites Work

• Compartmental systems with pipes
• Construction of exponentially decreasing estimates of solutions to a Cauchy problem for some nonlinear systems of delay differential equations
• Exponential decay estimates for some components of solutions to the nonlinear delay differential equations of the living system models
• Two-sided estimates for solutions to the Cauchy problem for Wazewski linear differential systems with delay
• Stability theory for nonnegative and compartmental dynamical systems with time delay
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