Global Solvability and Estimates of Solutions to the Cauchy Problem for the Retarded Functional Differential Equations That Are Used to Model Living Systems

被引：0

作者：

N. V. Pertsev

机构：

[1] Sobolev Institute of Mathematics,

[2] Omsk Branch,undefined

来源：

Siberian Mathematical Journal | 2018年 / 59卷

关键词：

retarded functional differential equation; Cauchy problem; global solvability; nonnegativity of solutions; boundedness of solutions; mathematical biology; living systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the Cauchy problem for the retarded functional differential equations that model the dynamics of some living systems. We find certain conditions ensuring the existence, uniqueness, and nonnegativity of solutions on finite and infinite time intervals. We obtain upper bounds for solutions and prove the continuous dependence of solutions on the initial data on finite time intervals.

引用

页码：113 / 125

页数：12

共 4 条

[1]

Mahaffy J. M.(1984)Cellular control models with linked positive and negative feedback and delays. Linear analysis and local stability J. Theor. Biol. 106 103-118

[2]

Karelina R. O.(2005)Construction of two-sided estimates for solutions of some systems of differential equations with aftereffect Sib. Zh. Ind. Mat. 8 60-72

[3]

Pertsev N. V.(2015)Analysis of solutions to mathematical models of epidemic processes with common structural properties Sib. Zh. Ind. Mat. 18 85-98

[4]

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