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

Сибирский математический журнал

N. V. Pertsev¹ 

[1] Sobolev Institute of Mathematics, Omsk Branch

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

DOI  :  10.1134/S0037446618010135

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 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.

【 授权许可】

CC BY