On the system of coupled nondegenerate Kirchhoff equations with distributed delay: global existence and exponential decay

DOI10.1155/2021/5577277zbMath1462.35192OpenAlexW3135436787WikidataQ115521554 ScholiaQ115521554MaRDI QIDQ2024558

Ibrahim Mekawy, Djamel Ouchenane, Abdelbaki Choucha, Mohamed Abdalla, Salem Alkhalaf, Salah Mahmoud Boulaaras

Publication date: 4 May 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5577277

zbMATH Keywords

energy methodexponential stabilityFaedo-Galerkin method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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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• Stability of solutions to nonlinear wave equations with switching time delay
• Systems of nonlinear wave equations with damping and source terms.
• Stabilization of the wave equation with boundary or internal distributed delay.
• Uniform decay in weakly dissipative Timoshenko system with internal distributed delay feedbacks
• Stability analysis of stochastic delay differential equations with Lévy noise
• General decay for a viscoelastic problem with not necessarily decreasing kernel
• Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term
• Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
• Stability of linear stochastic delay differential equations with infinite Markovian switchings
• Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms
• General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
• New criteria for mean square exponential stability of stochastic systems with variable and distributed delays
• Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
• Global existence of solutions to a viscoelastic non-degenerate Kirchhoff equation
• Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
• General decay for a class of viscoelastic problem with not necessarily decreasing kernel
• Global Stabilization of a Class of Stochastic Nonlinear Time-Delay Systems With SISS Inverse Dynamics

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