Results 1 to 10 of about 18 (18)

On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces

Demonstratio Mathematica, 2023
In this article, we explain how a recent Lyapunov theorem on stability plays a role in the study of the strong stabilizability problem in Hilbert spaces.
Hariri Mohamed, Bouteffal Zohra, Beghersa Nor-el-houda, Benabdallah Mehdi   +3 more
doaj   +1 more source

Polynomial stability of the wave equation with distributed delay term on the dynamical control

Nonautonomous Dynamical Systems, 2021
Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
doaj   +1 more source

Some fixed point theorems of rational type contraction in b-metric spaces

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U.
Seddik Merdaci, Taieb Hamaizia
doaj   +1 more source

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

Open Mathematics, 2021
This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader, Ouchenane Djamel, Choucha Abdelbaki, Zennir Khaled, Zubair Sulima A.   +4 more
doaj   +1 more source

Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects

Advances in Nonlinear Analysis, 2023
We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
doaj   +1 more source

General decay in a Timoshenko-type system with thermoelasticity with second sound

Advances in Nonlinear Analysis, 2015
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali, Bchatnia Ahmed, Hamouda Makram, Messaoudi Salim   +3 more
doaj   +1 more source

Coexistence for a kind of stochastic three-species competitive models

Open Mathematics, 2019
The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian, Huang Jiabing, Wei Yuming, Liu Yongjian   +3 more
doaj   +1 more source

Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement

Nonautonomous Dynamical Systems, 2017
The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was obtained by Guesmia and Kafini [10] (three infinite memories), Guesmia and Kirane [11] (two infinite memories), Guesmia [9] (one infinite memory acting on the ...
Guesmia Aissa
doaj   +1 more source

Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms

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

Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with distributed delay

Demonstratio Mathematica
In 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, Boulaaras Salah, Jan Rashid, Alnegga Mohammad   +3 more
doaj   +1 more source