Existence and energy decay of solutions for the Euler–Bernoulli viscoelastic equation with a delay

Author:

Yang Zhifeng

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference34 articles.

1. Christensen R.M.: Theory of Viscoelasticity: An Introduction. Academic Press, New York (1977)

2. Boltzmann L.: Zur Theorie der Elastischen Nachwirkung. Sitzungsber. Math. Naturwiss. KL. Kaiserl. Acad. Wiss. 70(2), 175 (1874)

3. Fabrizio M., Polidoro S.: Asymptotic decay for some differential systems with fading memory. Appl. Anal. 81, 1245–1264 (2002)

4. Horn M.A.: Uniform decay rates for the solutions to the Euler–Bernoulli plate equation with boundary feedback acting via bending moments. Differ. Integral Equ. 5, 1121–1150 (1992)

5. Ji G., Lasiecka I.: Nonlinear boundary feedback stabilization for a semilinear Kirchhoff plate with dissipation acting only via moments-limiting behavior. J. Math. Anal. Appl. 229, 452–479 (1999)

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