Exponential stability of a thermodiffusion Timoshenko beam with distributed delay
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Date
2025
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Sciences
Abstract
In this thesis, we are interested in the study of exponontial stability and the
existence and uniqueness of a Timoshenko system incorporating distributed
delay and thermodiffusion effects. Using the semigroup method, first we
establish the well-posedness of the system under suitable assumptions on the
weight of the distributed delay, Then by emploing the energy method, we
design an appropriate Lyapunov functional to demonstrated exponontial
decay of the solution