Dynamics of Timoshenko system with time-varying weight and time-varying delay

DOI10.3934/dcdsb.2021053zbMath1481.35065OpenAlexW3130304869MaRDI QIDQ2064510

M. J. Dos Santos, Carlos Alberto Raposo, Carlos A. S. Nonato

Publication date: 6 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021053

zbMATH Keywords

exponential stabilityglobal solutionfully and partially damped systemshypothesis of equal-speed wave propagationnon-constant delay and weights

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Strong solutions to PDEs (35D35) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term ⋮ Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights ⋮ Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and exponential stability for a nonlinear Timoshenko system with delay
• A stability result of a Timoshenko system with a delay term in the internal feedback
• Exponential stability of the wave equation with boundary time-varying delay
• Stabilization of the wave equation with boundary or internal distributed delay.
• Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks
• Semigroups of linear operators and applications to partial differential equations
• Energy decay for Timoshenko systems of memory type.
• Global stability for damped Timoshenko systems
• Dynamics of the nonlinear Timoshenko system with variable delay
• Global existence and energy decay of solutions for a wave equation with non-constant delay and nonlinear weights
• The second spectrum of Timoshenko beam theory—Further assessment
• Stabilization of wave systems with input delay in the boundary control
• 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
• Stabilisation de la poutre de Timoshenko
• Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term
• Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay

This page was built for publication: Dynamics of Timoshenko system with time-varying weight and time-varying delay