Existence and global asymptotic stability criteria for nonlinear neutral-type neural networks involving multiple time delays using a quadratic-integral Lyapunov functional. [PDF]
Adv Differ Equ, 2021 Gholami Y.
europepmc +1 more source
Almost periodic solution of a discrete competitive system with delays and feedback controls
Open Mathematics, 2019 A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system.
Xue Yalong, Xie Xiangdong, Lin Qifa
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Stability and boundedness of nonautonomous neutral differential equation with delay [PDF]
Mathematica Moravica, 2020 We consider the nonautonomous neutral differential equation with delay h p(t) q(t) x(t) + b1x(t - r1) 0 0i0 + a(t) x 00(t) + b2x 00(t - r2) +b(t) x 0 (t) + b3x 0 (t - r3) + c(t)f(x(t - s)) = e(t, x, x0 , x 00).
Remili Moussadek, Oudjedi Linda D.
doaj
Lyapunov functional for a linear system with two delays [PDF]
, 2010 The paper presents a method of determining the Lyapunov functional for linear time-invariant LTI system with two lumped ...
Duda, J.
core
Global stability of vaccine-age/staged-structured epidemic models with nonlinear incidence
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider two classes of infinitely dimensional epidemic models with nonlinear incidence, where one assumes that the rate of a vaccinated individual losing immunity depends on the vaccine-age and another assumes that, before the vaccine begins to wane,
Jianquan Li +3 more
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Relative Arbitrage Opportunities With Interactions Among N Investors
Mathematical Finance, EarlyView.ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley +1 more source
A delayed SIR epidemic model with a general incidence rate
Electronic Journal of Qualitative Theory of Differential Equations, 2013 A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, $R_0(\tau)$ is obtained which determines whether the disease is extinct or not.
Khalid Hattaf +3 more
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Journal of Forecasting, Volume 45, Issue 8, Page 3710-3728, December 2026.ABSTRACT This paper presents a method for forecasting limit order book durations using a self‐exciting flexible residual point process. High‐frequency events in modern exchanges exhibit heavy‐tailed interarrival times, posing a significant challenge for accurate prediction.
Kyungsub Lee
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Classification of Processes by the Lyapunov exponent [PDF]
This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems ...
Busse, Anja M.
core
On the Design of Terminal Ingredients in Periodic Model Predictive Path‐Following
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Establishing recursive feasibility and convergence for nonlinear model predictive path‐following control (MPPFC) is a non‐trivial task, particularly when following periodic reference paths. We propose a procedure for the design of terminal ingredients in MPPFC for constrained nonlinear systems.
Mohamed Abou‐Taleb +3 more
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