Nonlinear integral models with delays: Recent developments and applications

The authors examine contemporary integral dynamic models of biological, environmental, and technological systems with heterogeneous components. The models contain two-dimensional control functions, nonlinearities, and delays in system inputs. The paper demonstrates the versatility of integral equati...

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Bibliographic Details
Main Authors: Natali Hritonenko, Yuri Yatsenko
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364718305391
Description
Summary:The authors examine contemporary integral dynamic models of biological, environmental, and technological systems with heterogeneous components. The models contain two-dimensional control functions, nonlinearities, and delays in system inputs. The paper demonstrates the versatility of integral equations and their importance to various applications. Connections and advantages of integral and differential models are discussed. A survey of optimal control strategies for such models is provided. Keywords: Integral dynamic models, Endogenous delay, Optimal control, Population models, Technological renovation
ISSN:1018-3647