Well-posedness and stability for a viscoelastic wave equation with density and time-varying delay in \(\mathbb{R}^n\)

DOI10.1216/JIE-2019-31-4-465zbMath1439.35058MaRDI QIDQ2297062

Baowei Feng, Keqin Su, Xin-Guang Yang

Publication date: 18 February 2020

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1580958122

zbMATH Keywords

Lyapunov functionalweighted spaceFaedo-Galerkin approximationinfinite memory

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09)

Related Items

Well-posedness and stability for an abstract evolution equation with history memory and time delay in Hilbert space ⋮ Stability and dynamics for Lamé system with degenerate memory and time-varying delay ⋮ Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping

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