Results 1 to 10 of about 496 (57)

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

open access: yesDemonstratio 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   +3 more
doaj   +1 more source

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

open access: yesNonautonomous 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

open access: yesMoroccan 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 access: yesOpen 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   +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

open access: yesAdvances 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

On the Benjamin-Bona-Mahony equation with a localized damping [PDF]

open access: yes, 2016
We introduce several mechanisms to dissipate the energy in the Benjamin-Bona-Mahony (BBM) equation. We consider either a distributed (localized) feedback law, or a boundary feedback law.
Rosier, Lionel
core   +4 more sources

Stability results for second-order evolution equations with switching time-delay [PDF]

open access: yes, 2013
We consider second-order evolution equations in an abstract setting with intermittently delayed/ not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, improving and generalising our previous results from [19].
Nicaise, Serge, Pignotti, Cristina
core   +2 more sources

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

open access: yesAdvances 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   +3 more
doaj   +1 more source

Almost Global Stochastic Stability [PDF]

open access: yes, 2005
We develop a method to prove almost global stability of stochastic differential equations in the sense that almost every initial point (with respect to the Lebesgue measure) is asymptotically attracted to the origin with unit probability.
Arnold L., Ramon van Handel
core   +5 more sources

Coexistence for a kind of stochastic three-species competitive models

open access: yesOpen 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   +3 more
doaj   +1 more source

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