Results 11 to 20 of about 5,715 (263)
On Stability of Linear Delay Differential Equations under Perron's Condition
Abstract and Applied Analysis, 2011 The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability ...
J. Diblík, A. Zafer
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Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations
Journal of Mathematics, 2023 This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
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Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks [PDF]
, 2012 In this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks. Some new criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov ...
Adnène Arbi +2 more
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On the Stability of Some Discrete Fractional Nonautonomous Systems
Abstract and Applied Analysis, 2012 Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are ...
Fahd Jarad +3 more
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Uniform Asymptotic Stability of Delay Differential Equations with Amnesia
Journal of Mathematical Analysis and Applications, 1995 The authors consider the problem of uniform asymptotic stability for a class of delay differential equations, where the most recent past does not affect the evolution of the system. They call them delay differential equations with amnesia. The authors introduce the following definition: A delay differential equation with amnesia is an equation of the ...
Karakostas, G., Sficas, Y.
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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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Electronic Journal of Qualitative Theory of Differential Equations, 2015 We present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.
Andrew Kulikov, Vera Malygina
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Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
Advances in Difference Equations, 2017 We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov ...
Nattakan Supajaidee, Sompop Moonchai
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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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A time-delayed predator-prey model with fear effect and stage structure
Xi'an Gongcheng Daxue xuebao, 2021 The stability of a predator-prey model with two-stage structure and fear effect was studied. This model incorporated maturation time delay of the prey, and a delay differential equation model was established.
Bairu LIU, Junli LIU, Pan LYU
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