Exponential decay estimates for time-delayed Benjamin–Bona–Mahony equations

DOI10.1080/00036810701799298zbMath1143.35383OpenAlexW2007961967WikidataQ58295382 ScholiaQ58295382MaRDI QIDQ3497829

Chaosheng Zhu, Chun-Lai Mu

Publication date: 28 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701799298

zbMATH Keywords

time-delayexponential decayBenjamin-Bona-Mahony equationLiapunov function method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10)

Related Items (8)

Asymptotic behavior of solutions for the time-delayed equations of Benjamin-Bona-Mahony's type ⋮ Gevrey regularity of the attractor for the Sobolev-galpern equation ⋮ Attractor of a semi-discrete Benjamin–Bona–Mahony equation on R¹ ⋮ A linearized compact ADI scheme for semilinear parabolic problems with distributed delay ⋮ Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D ⋮ Unnamed Item ⋮ Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator ⋮ On the regularity of the global attractor for a damped Rosenau equation onR

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Exponentially growing solutions for a delay-diffusion equation with negative feedback
• Convergence to equilibrium for delay-diffusion equations with small delay
• Reaction-diffusion equations with nonlinear boundary delay
• Attractors for the generalized Benjamin-Bona-Mahony equation
• Global attractor for the damped Benjamin–Bona–Mahony equations on R¹
• Model equations for long waves in nonlinear dispersive systems

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