Optimal decay for second‐order abstract viscoelastic equation in Hilbert spaces with infinite memory and time delay
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DOI: 10.1002/mma.6917
Abstract: In this paper, we consider a second‐order abstract viscoelastic equation in Hilbert spaces with infinite memory, time delay, and a kernel function h:ℝ+→ℝ+ satisfying, for all t ≥ 0, h′(t) ≤ −ζ(t)G(h(t)) where ζ and G are functions satisfying… read more here.
Keywords: memory; second order; time delay; infinite memory ... See more keywords
Asymptotic Stability of Bresse System with One Infinite Memory in the Longitudinal Displacements
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DOI: 10.1007/s00009-017-0877-y
Abstract: The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was proved by Guesmia and Kafini (Math Methods Appl Sci 38:2389–2402, 2015) under three infinite memories, Guesmia and Kirane (Z Angew Math Phys 67:1–39,… read more here.
Keywords: one infinite; asymptotic stability; infinite memory; bresse ... See more keywords
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