Results 21 to 30 of about 5,743 (261)

Uniform Asymptotic Stability of Solutions of Fractional Functional Differential Equations

Abstract and Applied Analysis, 2013
Some global existence and uniform asymptotic stability results for fractional functional differential equations are proved.
Yajing Li, Yejuan Wang
doaj   +1 more source

Uniform asymptotic stability of a fractional tuberculosis model [PDF]

Mathematical Modelling of Natural Phenomena, 2018
We propose a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB). Uniform asymptotic stability of the unique endemic equilibrium of the fractional-order TB model is proved, for anyα∈ (0, 1). Numerical simulations for the stability of the endemic equilibrium are provided.
Weronika Wojtak, Cristiana J. Silva, Delfim F.M. Torres   +2 more
openaire   +4 more sources

Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems

Electronic Journal of Qualitative Theory of Differential Equations
In this article, we present Lyapunov-type results to study the stability of an equilibrium of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution.
Lamiae Maia, Noha El Khattabi, Marlene Frigon   +2 more
doaj   +1 more source

New approach to asymptotic stability: time-varying nonlinear systems

International Journal of Mathematics and Mathematical Sciences, 1997
The results of the paper concern a broad family of time-varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2 ...
L. T. Grujić
doaj   +1 more source

Uniform Asymptotic Stability of Abstract Functional Differential Equations

Journal of Mathematical Analysis and Applications, 1997
The paper is devoted to a class of functional differential equations in a Banach space. Using Razumikhin's technique, the authors establish several criteria on uniform asymptotic stability in terms of two measures. In particular, a first order scalar integral-differential equation with unbounded delay is considered.
Liu, Xinzhi, Xu, Dao Yi
openaire   +1 more source

Exponential Stability of Nonlinear Time-Varying Delay Differential Equations via Lyapunov–Razumikhin Technique

Mathematics, 2023
In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
doaj   +1 more source

Razumikhin-type theorems for impulsive differential equations with piecewise constant argument of generalized type

Advances in Difference Equations, 2018
In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
doaj   +1 more source

Uniform Asymptotic Stability in Infinite Delay Systems

Journal of Mathematical Analysis and Applications, 1993
Using the technique of Lyapunov functionals, the author derives conditions for uniform asymptotic stability of infinite delay functional differential systems of the type \(x'(t)= f(t,x_ t)\), where \(x(t)\in \mathbb{R}^ n\) and \(x_ t(s)= x(t+ s)\), \(s\leq 0\).
openaire   +2 more sources

Karl Popper and the Mechanisms of Hydrogen Embrittlement

Advanced Engineering Materials, EarlyView.
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley   +1 more source

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

Advanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare, Y. Beideler, D. Chune, R. De Guio, T. Roland, H. Chibane   +5 more
wiley   +1 more source