Work

Approximate Controllability for Nonautonomous Integrodifferential Equations With State-dependent Delay

Year: 2024

Type: article

Abstract: We study the existence of mild solutions and the approximate controllability for nonautonomous integro-differential equations with state-dependent delay. We assume the approximate controllability of the linear part, and then we use resolvent operator theory to prove the approximate controllability of the nonlinear case. An example of the one-dimensional heat equation with memory is given to illustrate the basic idea our results.

Source: Journal of Integral Equations and Applications

DOI: 10.1216/jie.2024.36.263

Authors: Mamadou Abdoul Diop, Mohammed Elghandouri, Khalil Ezzinbi

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4402890171

FWCI: 1.53

Cites: 38

Cited by: 2

Related to: 10