Geodesic
Stabilization of a nonlinear Euler--Bernoulli viscoelastic beam subjected to a neutral delay
Theoretical and applied mechanics, Tome 51 (2024) no. 2, p. 75

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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.
DOI : 10.2298/TAM240318005L
Classification : 34K30, 35R09, 35R10
Keywords: nonlinear Euler-Bernoulli beam, Lyapunov functions, viscoelasticity, general decay, boundary control, partial differential equations 
Ibrahim Lakehal; Djamila Benterki; Khaled Zennir. Stabilization of a nonlinear Euler--Bernoulli viscoelastic beam subjected to a neutral delay. Theoretical and applied mechanics, Tome 51 (2024) no. 2, p. 75 . doi: 10.2298/TAM240318005L
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     title = {Stabilization of a nonlinear {Euler--Bernoulli} viscoelastic beam subjected to a neutral delay},
     journal = {Theoretical and applied mechanics},
     pages = {75 },
     year = {2024},
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     doi = {10.2298/TAM240318005L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM240318005L/}
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