Results 21 to 30 of about 5,715 (263)
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
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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 +2 more
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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
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Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems
Electronic Journal of Qualitative Theory of Differential EquationsIn 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 +2 more
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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
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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 \(x_ t(s)= x(t+ s)\), \(s\leq 0\).
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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
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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
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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
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From Shear to Sound: Mechanics–Acoustics Mapping of TPMS Lattices
Advanced Engineering Materials, EarlyView.Triply periodic minimal surface (TPMS) lattices are mapped across mechanical and acoustic performance, revealing that descriptors validated in compression fail under shear. First‐time comparison with trusses included. A transition from porous to resonance‐driven absorption emerges at 25% density.
Lucía Doyle +3 more
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