Journal Article10.1007/BF00251609
Asymptotic stability in viscoelasticity
914
TL;DR: In this article, it was shown that the solutions of (1.1) are asymptotically stable provided that g(T) is a nonnegative, monotonic non-increasing and convex function such that
read more
Abstract: where p, c are positive constants and g(r is independent of x; u(x, t) has been assigned on [0, 1 ] x ( oo, 0]. In a recent paper [1] the author investigated the problem of asymptotic stability for a class of abstract integrodifferential equations in function space, and the results were then applied to viscoelasticity. It was established, for instance, that the solutions of (1.1) are asymptotically stable provided that g(T) is a nonnegative, monotonic non-increasing and convex function such that
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
•Journal Article
Decay of Solutions of a Nonlinear Viscoelastic Hyperbolic Equation
TL;DR: In this paper, the authors studied the decay of solutions of the nonlinear viscoelastic hyperbolic equation in problem (P) as t : (P), where Ω is a bounded domain in RN (N>1), with smooth boundary Γ, and a, b, w are positive constants, m≥2, p ≥ 2, and g(t) satisfying some conditions.
1
•Posted Content
On the Stability of the Cauchy Problem of Timoshenko Thermoelastic Systems with Past History: Cattaneo and Fourier Law
TL;DR: In this paper, the decay properties of the thermoelastic Timoshenko system with past history in the whole space where the thermal effects are given by Cattaneo and Fourier laws were investigated.
1
Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity
Houria Chellaoua,Yamna Boukhatem +1 more
- 06 Dec 2019
TL;DR: In this paper, a second-order abstract semilinear evolution equation with past history and time delay is considered, and the stability result is established by defining a suitable Lyapunov functional.
The effect of Kelvin–Voigt damping on the stability of Timoshenko laminated beams system with history
Victor R. Cabanillas,Teófanes Quispe Méndez,Carlos Quicaño Barrientos +2 more
1
References
Dynamical systems and stability
TL;DR: Topologies introduced on state space for differential equations to obtain dynamical systems were introduced in this article, where the state space was used to obtain the dynamical system topology of dynamical networks.
316
An invariance principle for compact processes
TL;DR: In this paper, the authors study invariance in the framework of the theory of processes, which is a direct generalization of the concept of a topological dynamical system.
88