Analysis shows stability in solutions of a nonlinear viscoelastic plate under frictional damping in bounded domains, suggesting enhanced understanding of boundary impacts.
In this article, we study the stability of solutions to a nonlinear viscoelastic plate problem with frictional damping of a memory on a part of the boundary, and a logarithmic source in a bounded domain Ω⊂ R². In this problem the relaxation function r satisfies r^( t)≤ -h( t) G( r( t) ) for all t≥ 0, where h is a nonincreasing positive function. This work extends previous works with viscoelastic plate problems and improves earlier results in the
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Madjour et al. (2025) studied this question.
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