Results 21 to 30 of about 168,344 (183)
Uniform asymptotic stability of solutions of fractional functional differential equations [PDF]
, 2013 In this paper, some global existence and uniform asymptotic stability results for fractional functional differential equations are proved. It is worthy mentioning that when $\alpha=1$ the initial value problem (1.1) reduces to a classical dissipative ...
Li, Yajing, Wang, Yejuan
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On the practical global uniform asymptotic stability of stochastic differential equations [PDF]
, 2015 The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, in particular, of stochastic differential systems.
Caraballo, Tomas +2 more
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Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation
Discrete Dynamics in Nature and Society, 2014 We investigate the local stability and the global asymptotic stability of the difference equation xn+1=αxn2+βxnxn-1+γxn-1/Axn2+Bxnxn-1+Cxn-1, n=0,1,… with nonnegative parameters and initial conditions such that Axn2+Bxnxn-1+Cxn-1>0, for all n≥0.
Senada Kalabušić +2 more
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Global asymptotic stability in discrete systems
Journal of Mathematical Analysis and Applications, 1989 Global asymptotic stability results are given for difference equations \(x_{i+1}=T(x_ i)\) where \(T: {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) is continuous.
Wu, Jinn-Wen, Brown, David P
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Mathematics, 2020 A single species stage structure model with Michaelis–Menten-type juvenile population harvesting is proposed and investigated. The existence and local stability of the model equilibria are studied.
Xiangqin Yu, Zhenliang Zhu, Fengde Chen
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Global asymptotic properties for a Leslie-Gower food chain model
, 2009 We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure ...
Korobeinikov, Andrei, Lee, William T.
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Journal of Applied Mathematics, 2013 This paper discusses the existence and global uniform asymptotic stability of almost periodic solutions for cellular neural networks (CNNS). By utilizing the theory of the almost periodic differential equation and the Lyapunov functionals method, some ...
Zongyi Hou, Hongying Zhu, Chunhua Feng
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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Stabilizing Quantum States by Constructive Design of Open Quantum Dynamics
, 2010 Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic stability at ...
Schirmer, Sophie G. +2 more
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Abstract and Applied Analysis, 2014 This paper researches global asymptotic stability of impulsive cellular neural networks with proportional delays and partially Lipschitz activation functions.
Xueli Song, Jigen Peng
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