Results 31 to 40 of about 6,564 (117)
Existence, uniqueness and exponential decay of solutions to Kirchhoff equation in R^n
Electronic Journal of Differential Equations, 2016 We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in $\mathbb{R}^n$ $$ u_{tt}-M\Big(\int_{\mathbb{R}^n}|\nabla u|^2dx\Big)\Delta u +\lambda u_t=0 \quad \text{in } \mathbb{R}^n\times (0,\infty). $$ The
Flavio Roberto Dias Silva +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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AxiomsThis paper focuses on exploring the existence and uniqueness of solutions for a specific type of impulsive fractional-order complex-valued stochastic neural network within the complex domain, a topic hitherto undocumented.
Jianglian Xiang +2 more
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Abstract and Applied Analysis, 2011 We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
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Uniform Self-Stabilizing Ring Orientation
Information and Computation, 1993 The paper deals with a class of uniform protocols that ensure the self- stabilization of ring type distributed systems. The self-stabilization means that a system with this property once started regains its consistency by itself, without any outside intervention.
Amos Israeli, Marc Jalfon
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Fractal and FractionalThe paper explores the uniform stability and equilibrium characteristics of a class of neural networks of fractional order with time delay. The two-point self-mapped contraction theorem is used in order to establish sufficient conditions for the uniform ...
Sumati Kumari Panda +3 more
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Heliyon, 2021 This paper presents asymptotic behaviour of solution to certain nonlinear nonautonomous neutral functional differential equation of the third order. The third order functional differential equation is cut back to system of first order and used together ...
Adeleke Timothy Ademola
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Fractal and FractionalThis paper mainly investigates the stability of fractional-order time-delayed neural networks (FOTDNNs) driven by fractional Brownian motion.
Yajuan Gu, Hu Wang, Yongguang Yu
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On a logarithmic criterion for uniform polynomial stability
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 The paper presents a logarithmic criterion for uniform polynomial stability of evolution operators in Banach spaces. As applications, another four characterizations of uniform polynomial stability are obtained.
Boruga Rovana, Megan Mihail
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Phases and stability of non-uniform black strings
Journal of High Energy Physics, 2018 We construct solutions of non-uniform black strings in dimensions from D ≈ 9 all the way up to D = ∞, and investigate their thermodynamics and dynamical stability.
Roberto Emparan +4 more
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