Results 11 to 20 of about 66 (66)
, 2023 This work studies the initial boundary value problem for the Petrovsky equation with nonlinear damping. Furthermore, we show that this solution blows up in a finite time when the initial energy is negative.
Mosbah Kaddour +3 more
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Optimal decay rates for the acoustic wave motions with boundary memory damping
, 2020 A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered.
BENOMAR, Khalida, BENAISSA, Abbes
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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
wiley +1 more source
Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan‐Taylor damping
Abstract and Applied Analysis, Volume 1, Issue 1, Page 83-102, 1996., 1996 In this paper we study a hinged, extensible, and elastic nonlinear beam equation with structural damping and Balakrishnan‐Taylor damping with the full exponent 2(n + β) + 1. This strongly nonlinear equation, initially proposed by Balakrishnan and Taylor in 1989, is a very general and useful model for large aerospace structures.
Yuncheng You
wiley +1 more source
Tracking control of a flexible beam by nonlinear boundary feedback
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 47-58, 1995., 1994 This paper is concerned with tracking control of a dynamic model consisting of a flexible beam rotated by a motor in a horizontal plane at the one end and a tip body rigidly attached at the free end. The well‐posedness of the closed loop systems considering the dissipative nonlinear boundary feedback is discussed and the asymptotic stability about ...
Bao-Zhu Guo, Qian Song
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Exponential decay of the viscoelastic wave equation of Kirchhoff type with a nonlocal dissipation
, 2020 The following viscoelastic wave equation of Kirchhoff type with non- linear and nonlocal damping utt − ψ (I I2\ 2 ∆u − α∆ut t + g(t − τ )∆u(τ )dτ + M 0 (I∇uI2\ u = f (u), where M (r) is a C1([0, ∞)) -function satisfying M (r) ≥ m1 > 0 for r ≥ 0, is ...
MELLAH, Mohamed, HAKEM, Ali
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Advances in Nonlinear Analysis, 2018 In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
doaj +1 more source
Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs
, 2002 Abstract and Applied Analysis, Volume 7, Issue 4, Page 169-237, 2002.
F. Bucci, I. Lasiecka, R. Triggiani
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Asymptotic Behavior in Sliding Mode Control Systems [PDF]
, 2013 Practical stability of real states of nonlinear sliding mode control systems is related to asymptotic vanishing of the corresponding sliding errors.
Zolezzi, Tullio
core
Demonstratio MathematicaIn this study, we address a Cauchy problem within the context of the one-dimensional Timoshenko system, incorporating a distributed delay term. The heat conduction aspect is described by the Lord-Shulman theory.
Choucha Abdelbaki +3 more
doaj +1 more source