Optimal stability for a viscoelastic neutral differential problem

DOI10.1216/jie.2022.34.335OpenAlexW4312646044MaRDI QIDQ2110900

Jamilu Hashim Hassan, Nasser-eddine Tatar

Publication date: 23 December 2022

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

Full work available at URL: https://doi.org/10.1216/jie.2022.34.335

zbMATH Keywords

neutral delayviscoelastic equationoptimal stability

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Neutral functional-differential equations (34K40) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces
• General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term
• Exponential stability of certain neutral differential equations
• Stabilization of the wave equation with boundary or internal distributed delay.
• Existence and asymptotic stability of a viscoelastic wave equation with a delay
• Existence of solutions for second order partial neutral functional differential equations
• Stability of the heat and of the wave equations with boundary time-varying delays
• Existence of solutions for impulsive partial neutral functional differential equations
• Rotating waves in neutral partial functional differential equations
• Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay
• Global asymptotic stability of nonlinear neutral differential equation
• General decay result for nonlinear viscoelastic equations
• Coupled second order evolution equations with fading memory: optimal energy decay rate
• Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
• Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks
• Exponential decay for a neutral one-dimensional viscoelastic equation
• Stability of a thermoelastic laminated system subject to a neutral delay
• Stabilization of second order evolution equations with unbounded feedback with 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
• Effectiveness and Robustness with Respect to Time Delays of Boundary Feedback Stabilization in One-Dimensional Viscoelasticity
• Stability for the damped wave equation with neutral delay
• Exponential Stability of the Wave Equation with Memory and Time Delay
• EXPONENTIAL DECAY FOR A NEUTRAL WAVE EQUATION
• Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam
• Magneto-thermo-elasticity---large-time behavior for linear systems

This page was built for publication: Optimal stability for a viscoelastic neutral differential problem