Эта публикация цитируется в 1 статье

Stabilization of a nonlinear Euler–Bernoulli viscoelastic beam subjected to a neutral delay

Ibrahim Lakehal^a, Djamila Benterki^a, Khaled Zennir<sup>bc

a</sup> Mathematical Analysis and Applications Laboratory, Department of Mathematics, Faculty of mathematics and computer science, Bordj-Bou-Arreridj-University, El-Anasser, Algeria
^b Department of Mathematics, College of Science, Qassim University, Saudi Arabia
^c Department of Mathematics, Faculty of Science, University 20 Août 1955, Skikda, Algeria

Аннотация: An approach is implemented in this article to analyze the decay rate of nonlinear beams according to the Euler–Bernoulli equation in the context of rheological viscoelastic damping deformations taking into account the neutral type delay. The interaction between viscoelastic and neutral type delays is discussed as our main aim to support a rapidly developing literature. Using the energy method and constructing an appropriate Lyapunov functional, under certain conditions on the kernel and neutral delay terms, we show that despite the destructive nature of delays in general, a very general decaying energy for the problem was obtained.

Ключевые слова: nonlinear Euler-Bernoulli beam, Lyapunov functions, viscoelasticity, general decay, boundary control, partial differential equations.

MSC: 34K30, 35R09, 35R10

Поступила в редакцию: 18.03.2024
Принята в печать: 25.04.2024

Язык публикации: английский

DOI: 10.2298/TAM240318005L