Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
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DOI: 10.1007/s40065-020-00295-w
Abstract: In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some… read more here.
Keywords: dissipative viscoelastic; infinite memory; equation infinite; viscoelastic plate ... See more keywords
Decay of an Extensible Viscoelastic Plate Equation with a Nonlinear Time Delay
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DOI: 10.1007/s40840-018-0602-4
Abstract: An extensible viscoelastic plate equation with a nonlinear time-varying delay feedback and nonlinear source term is considered. Under suitable assumptions on relaxation function, nonlinear internal delay feedback, and source term, we establish a general decay… read more here.
Keywords: equation nonlinear; plate equation; viscoelastic plate; delay ... See more keywords
Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity
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DOI: 10.1186/s13661-020-01382-9
Abstract: In this paper, we are concerned with the decay rate of the solution of a viscoelastic plate equation with infinite memory and logarithmic nonlinearity. We establish an explicit and general decay rate results with imposing… read more here.
Keywords: logarithmic nonlinearity; viscoelastic plate; plate equation;
Viscoelastic plate equation with boundary feedback
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DOI: 10.3934/eect.2017014
Abstract: In this paper we consider a viscoelastic plate equation with a nonlinear weakly dissipative feedback localized on a part of the boundary. Without imposing restrictive assumptions on the boundary frictional damping, we establish an explicit… read more here.
Keywords: equation boundary; viscoelastic plate; feedback; plate equation ... See more keywords