Stability for a Class of Extensible Beams with Degenerate Nonlocal Damping

Author:

Zhou Cong,Sun ChunyouORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference21 articles.

1. Balakrishnan, A.V., Taylor, L.W.: Distributed parameter nonlinear damping models for flight structures. In: Proceedings Daming 89, Flight Dynamics Lab and Air Force Wright Aeronautical Labs, WPAFB (1989)

2. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Jorge Silva, M.A., Narciso, V.: Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan–Taylor type. J. Differ. Equ. 290, 197–222 (2021)

3. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Ma, T.F.: Exponential decay of the viscoelastic Euler–Bernoulli equation with a nonlocal dissipation in general domains. Differ. Integral Equ. 17, 495–510 (2004)

4. Chueshov, I., Eller, M., Lasiecka, I.: On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Commun. Partial Differ. Equ. 27, 1901–1951 (2002)

5. Chueshov, I., Kolbasin, S.: Long-time dynamics in plate models with strong nonlinear damping. Commun. Pure Appl. Anal. 11, 659–674 (2012)

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