General and optimal decay in a memory-type Timoshenko system

DOI10.1216/JIE-2018-30-1-117zbMath1394.35270WikidataQ130013355 ScholiaQ130013355MaRDI QIDQ1751561

Jamilu Hashim Hassan, Messaoudi A. Salim

Publication date: 25 May 2018

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1523347341

zbMATH Keywords

Dirichlet boundary conditionsrelaxation functionequal and non-equal speeds of wave propagation

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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Cites Work

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• Some stability results for Timoshenko systems with cooperative frictional and infinite-memory dampings in the displacement
• On the control of solutions of a viscoelastic equation
• General and optimal decay for a quasilinear viscoelastic equation
• Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations
• The stability number of the Timoshenko system with second sound
• On the internal and boundary stabilization of Timoshenko beams
• Uniform decay in a Timoshenko-type system with past history
• Boundary feedback stabilization of Timoshenko beam with boundary dissipation
• Energy decay for Timoshenko systems of memory type.
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
• On the control of a viscoelastic damped Timoshenko-type system
• On the stabilization of Timoshenko systems with memory and different speeds of wave propagation
• Stability of Timoshenko systems with past history
• Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control
• Exponential stability for the Timoshenko system with two weak dampings
• Stability to weakly dissipative Timoshenko systems
• Boundary Control of the Timoshenko Beam
• A general stability result in a Timoshenko system with infinite memory: A new approach
• On the decay rates of Timoshenko system with second sound