Work

New Exploration on Approximate Controllability of Damped Elastic Beam Systems in Banach Spaces

Year: 2025

Type: article

Abstract: This article mainly studies the existence and approximate controllability of mild solutions for a class of Volterra-Fredholm type integral-differential damped elastic beam systems in Banach spaces. Firstly, the existence of mild solutions was obtained using Banach fixed point theorem and operator semigroup theory. Secondly, we formalized and proved the sufficient conditions for the approximate controllability of our desired problem. To test the results of approximate controllability, we used sequence method without assuming that the corresponding linear system is approximately controllable. Finally, an example is given to illustrate the theory results.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240335

Authors: Haide Gou, Min Shi

Institution: Northwest Normal University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Northwest Normal University, National Natural Science Foundation of China, Natural Science Foundation of Gansu Province