Global Solvability and Estimates of Solutions to the Cauchy Problem for the Retarded Functional Differential Equations That Are Used to Model Living Systems
- Authors: Pertsev N.V.1
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Affiliations:
- Sobolev Institute of Mathematics, Omsk Branch
- Issue: Vol 59, No 1 (2018)
- Pages: 113-125
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171685
- DOI: https://doi.org/10.1134/S0037446618010135
- ID: 171685
Cite item
Abstract
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.
About the authors
N. V. Pertsev
Sobolev Institute of Mathematics, Omsk Branch
Author for correspondence.
Email: homlab@ya.ru
Russian Federation, Omsk