Search Results - Ordinary differential equations Stability theory Stability

Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA by Gumel, Abba B., AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations

“… finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well…”
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Dynamic analysis of a SI1I2AD information dissemination model considering the word of mouth by Qiao, Rongrong, Hu, Yuhan

“… First, the fundamental regeneration number R 0 and the three equilibrium points are solved according to the stability theory of ordinary differential equations…”
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Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations by Afonso, Suzete, da Silva, Márcia

“…We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory…”
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A Lyapunov exponent based stability theory for ordinary differential equation initial value problem solvers by Steyer, Andrew J

“…In this dissertation we consider the stability of numerical methods approximating the solution of bounded, stable, and time-dependent solutions of ordinary differential equation initial value problems…”
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Application of linear ordinary differential equations to the stability control of long time lag networks by Yao, Haiyan

“…Optimal control based on the exact synchronization of linear ordinary differential equations can provide conditions for the existence of optimal control of long-time lag network stability…”
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Robust impulsive observer design for infinite‐dimensional cell population balance models by Schaum, Alexander, Jerono, Pascal, Feketa, Petro

“… The model consists of a partial integro‐differential equation coupled with an ordinary differential equation…”
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On stability of time-varying linear differential-algebraic equations by Berger, Thomas, Ilchmann, Achim

“…We develop a stability theory for time-varying linear differential algebraic equations (DAEs…”
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Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations by Achleitner, Franz, Arnold, Anton, Mehrmann, Volker

“…For the classes of finite‐dimensional linear time‐invariant semi‐dissipative Hamiltonian ordinary differential equations and differential…”
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TOWARDS A SYSTEMATIC LINEAR STABILITY ANALYSIS OF NUMERICAL METHODS FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS by BUCKWAR, EVELYN, KELLY, CÓNALL

“…We develop two classes of test equations for the linear stability analysis of numerical methods applied to systems of stochastic ordinary differential equations of Ito type (SODEs…”
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An explicit time integration algorithm for linear and non-linear finite element analyses of dynamic and wave problems by Zhao, Mi, Li, Huifang, Cao, Shengtao, Du, Xiuli

“…Purpose The purpose of this paper is to propose a new explicit time integration algorithm for solution to the linear and non-linear finite element equations of structural dynamic and wave propagation problems…”
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A state-dependent control against transmission of West Nile virus from mosquitoes to birds by Nie, Lin-Fei, Shen, Jing-Yun

“… By the linearization method and Bendixson–Dulac theorem of differential equation, we obtain the basic reproductive number R 0 for this disease, which illustrates the global asymptotical stability of the disease-free equilibrium and endemic equilibrium…”
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A SIQ mathematical model on COVID-19 investigating the lockdown effect by Bhadauria, Archana Singh, Pathak, Rachana, Chaudhary, Manisha

“… The proposed model has been studied using stability theory of nonlinear ordinary differential equations…”
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Reachable Power Flow: Theory to Practice by Zhou, Yifan, Zhang, Peng

“…: (1) both small- and large- signal stability proofs for the ordinary differential equation (ODE…”
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G-stability one-leg hybrid methods for solving DAEs by Agarwal, P., Ibrahim, Iman H., Yousry, Fatma M.

“…This paper introduces the solution of differential algebraic equations using two hybrid classes and their twin one-leg with improved stability properties…”
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Modeling the effect of dust pollutants on plant biomass and their abatement from the near earth atmosphere by Sundar, Shyam, Naresh, Ram

“…Scavenging of ground level dust pollution from the near earth atmosphere has been a challenging problem, causing various undesirable consequences to human…”
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Globally Asymptotically Stable Equilibrium Points in Kukles Systems by Dias, Fabio Scalco, Mello, Luis Fernando

“… In this article, we address the global asymptotic stability problem of an equilibrium point of an ordinary differential equation on the plane…”
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Personalized Immunotherapy Treatment Strategies for a Dynamical System of Chronic Myelogenous Leukemia by Valle, Paul A., Coria, Luis N., Plata, Corina

“… first-order ordinary differential equations. The latter was achieved by applying both the Localization of Compact Invariant Sets and Lyapunov’s stability theory…”
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Functional differential equations : advances and applications by Corduneanu, C. (Constantin), Li, Yizeng, Mahdavi, Mehran

“…, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential…”
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Asymptotical stability of Runge–Kutta methods for nonlinear impulsive differential equations by Zhang, Gui-Lai

“…In this paper, asymptotical stability of the exact solutions of nonlinear impulsive ordinary differential equations is studied under Lipschitz conditions…”
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A new asymptotic stability criterion for nonlinear time-variant differential equations by Aeyels, D., Peuteman, J.

“…A new sufficient condition for asymptotic stability of ordinary differential equations is proposed…”
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