Abstract
AbstractThis paper studies a Balakrishnan–Taylor viscoelastic wave equation with strong time-dependent delay. Under suitable assumptions on the coefficients of the delay term, we establish a generalized stability result, which improve some earlier results in the literature.
Funder
Natural Science Foundation of Ningxia
General Project of North Minzu University
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference42 articles.
1. Alabau-Boussouira, F.: Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems. Appl. Math. Optim. 51, 61–105 (2005)
2. Alabau-Boussouira, F.: A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems. J. Differ. Equ. 248, 1473–1517 (2010)
3. Alabau-Boussouira, F., Cannarsa, P.: A general method for proving sharp energy decay rates for memory-dissipative evolution equations. C. R. Acad. Sci. Paris, Ser. I 347, 867–872 (2009)
4. 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)
5. Bass, R.W., Zes, D.: Spillover nonlinearlity and flexible structures. In: Taylor, L.W. (ed.) The Fourth NASA Workshop on Computational Control of Flexible Aerospace Systems, NASA ConFlight Dynamics Lad and Air Force Wright Aeronautral Labs, WPAFB (1989), pp. 1–14 (1991). Conference Publication 10065
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