Construction of exponentially decreasing estimates of solutions to a Cauchy problem for some nonlinear systems of delay differential equations

DOI10.33048/SEMI.2021.18.042zbMath1462.34097OpenAlexW3199372396WikidataQ115222240 ScholiaQ115222240MaRDI QIDQ2033363

Nikolay Viktorovitch Pertsev

Publication date: 17 June 2021

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

Full work available at URL: https://doi.org/10.33048/semi.2021.18.042

zbMATH Keywords

nonnegative solutionsM-matrixinitial problemdelay dierential equationsexponentially decreasing estimates of the solutionsmathematical models of living systems

Mathematics Subject Classification ID

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

Related Items (2)

ESTIMATES FOR SOLUTIONS FOR ONE MODEL OF POPULATION DYNAMICS WITH DELAY ⋮ Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations

Cites Work

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• Positiveness conditions for the Cauchy function for differential equations with distributed delay
• Global solvability and estimates of solutions to the Cauchy problem for the retarded functional differential equations that are used to model living systems
• Exponential decay estimates for some components of solutions to the nonlinear delay differential equations of the living system models
• Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays
• The Mathematics of Infectious Diseases
• Nonoscillation Theory of Functional Differential Equations with Applications

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