Results 1 to 10 of about 43,017 (181)
Bifurcating electric wires [PDF]
, 1981 The stationary states of a string through which an electric current is sent and which is placed in an axial magnetic field, are investigated. Using methods of constrained variational principles, it is shown that, in case the string is inextensible, only ...
Groesen, E.W.C. van
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Functional Inequalities via Lyapunov conditions [PDF]
, 2010 We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar\'e inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov ...
Cattiaux, Patrick, Guillin, Arnaud
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Mathematical Biosciences and Engineering, 2021 In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle ...
Ke Guo, Wanbiao Ma
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Stability analysis of an unemployment model with time delay
AIMS Mathematics, 2021 In this paper, we have developed and analyzed an unemployment model of differential equations with time delay, taking into consideration the role of government for the support of vacancies creation.
Tawatchai Petaratip, Piyapong Niamsup
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Stability analysis and persistence of a phage therapy model
Mathematical Biosciences and Engineering, 2021 This study deals with a phage therapy model involving nonlinear interactions of the bacteria–phage–innate immune response. The main aim of this work is to analytically and numerically examine the dynamic behavior of the phage therapy model.
Ei Ei Kyaw +3 more
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Networks and Heterogeneous Media, 2022 We consider the general networks of elastic strings with Neumann boundary feedbacks and collocated observations in this paper. By selecting an appropriate multiplier, we show that this system is input-output \begin{document}$ L^2 $\end{document}-well ...
Dongyi Liu, Genqi Xu
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A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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Nonlinear Spatiotemporal Viral Infection Model with CTL Immunity: Mathematical Analysis
Mathematics, 2020 A mathematical model describing viral dynamics in the presence of the latently infected cells and the cytotoxic T-lymphocytes cells (CTL), taking into consideration the spatial mobility of free viruses, is presented and studied.
Jaouad Danane +3 more
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Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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Mathematical Biosciences and Engineering, 2020 The present work is devoted to the global stability analysis for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. First, we characterize some subsets of attraction basins of equilibria.
Toshikazu Kuniya +1 more
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