General decay of the solution to a nonlinear viscoelastic beam with delay

Ammar Khemmoudj ()
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Ammar Khemmoudj: University of Science and Technology Houari Boumediene

Partial Differential Equations and Applications, 2023, vol. 4, issue 3, 1-25

Abstract: Abstract In this paper we consider a nonlinear viscoelastic beam with a linear delay term and infinite memory term. The well posedness of solutions is proved using the semigroup method. We establish a general decay results by using minimal and general conditions on the relaxation function, from which the usual exponential and polynomial decay rates are only special cases.

Keywords: Viscoelastic; Nonlinear beam; Delay term; Decay rate; Lyapunov functionals; 35B40; 35L70; 49K25; 93D15; 93D20 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s42985-023-00238-y

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