Stability and instability results for coupled waves with delay term

DOI10.1063/1.5144987zbMath1454.35026OpenAlexW3043409305MaRDI QIDQ5140943

Unnamed Author, Higidio P. Oquendo

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5144987

zbMATH Keywords

polynomial stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Partial functional-differential equations (35R10) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights ⋮ Well-posedness and stability for semilinear wave-type equations with time delay ⋮ Dynamics of a coupled nonlinear wave equations with fractional Laplacian damping and Fourier's law ⋮ Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback

Cites Work

• Unnamed Item
• Unnamed Item
• Well-posedness for a class of wave equation with past history and a delay
• Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback
• Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
• Asymptotic behavior for a viscoelastic wave equation with a delay term
• Stabilization of second-order evolution equations with time delay
• Optimal decay for coupled waves with Kelvin-Voigt damping
• Feedback boundary stabilization of wave equations with interior delay
• Stabilization of the wave equation with boundary or internal distributed delay.
• Existence and asymptotic stability of a viscoelastic wave equation with a delay
• Indirect internal stabilization of weakly coupled evolution equations
• Optimal polynomial decay of functions and operator semigroups
• Introduction to functional differential equations
• Best rates of decay for coupled waves with different propagation speeds
• Exponential energy decay of some coupled second order systems
• A general framework for the study of indirect damping mechanisms in elastic systems
• Uniform exponential stability of the transmission wave equation with a delay term in the boundary feedback
• Indirect stabilization of locally coupled wave-type systems
• Global Existence and Asymptotic Behavior for a Coupled System of Viscoelastic Wave Equations with a Delay Term
• Stabilization of wave systems with input delay in the boundary control
• Well-posedness and general decay of solution for a transmission problem with viscoelastic term and delay
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Exponential Stability of the Wave Equation with Memory and Time Delay
• Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay

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