Results 11 to 20 of about 944,552 (285)
Center manifolds for infinite delay [PDF]
Journal of Differential Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreira, Luis, Valls, Claudia
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Stochastic Lotka–Volterra system with infinite delay [PDF]
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Xu, Fuke Wu, Yimin Tan
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Shadowing for nonautonomous difference equations with infinite delay
Applied Mathematics Letters, 2021 We formulate sufficient conditions under which a large class of semilinear nonautonomous difference equations with infinite delay is Hyers-Ulam stable. These conditions require that the nonautonomous linear part admits an exponential dichotomy and that the nonlinear perturbations are uniformly Lipschitz continuous with a sufficiently small Lipschitz ...
Davor Dragicevic, Mihály Pituk
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Equations with infinite delay: Blending the abstract and the concrete [PDF]
Journal of Differential Equations, 2012 In the case of infinite delay, the authors prove the principle of linearized stability for nonlinear renewal equations \(x(t)=F(x_t),\,\,t>0\), for delay-differential equations \(\dot y(t)=F(y_t),\,\,t>0\), and for coupled systems of these two types of equations \(x(t)=F_1(x_t,y_t),\,\,\dot y(t)=F_2(x_t,y_t),\,\,t>0\), where \(x_t\) and \(y_t\) denote ...
Diekmann, O., Gyllenberg, M.
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A note on the diffraction by a semi-Infinite thick half plane, and a semi-infinite cylindrical rod with an absorbent end face [PDF]
, 1994 The known solutions for: (i) A plane wave incident on two rigid semi-infinite parallel plane distance 2b apart, (ii) The radiation of an arbitrary mode from two parallel rigid semi-infinite plates 2b apart, are used to construct the solution of the ...
Rawlins, A D
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Mean square exponential stability of stochastic function differential equations in the G-framework
Open Mathematics, 2023 This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that the trivial solution of a G-SFDE with infinite delay is exponentially stable in mean square. An example
Li Guangjie, Hu Zhipei
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Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables
Advances in Difference Equations, 2009 A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “ϱ-cone,” we ...
Zhixia Ma, Liguang Xu
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A Maximum Principle for Infinite Horizon Delay Equations [PDF]
SIAM Journal on Mathematical Analysis, 2013 We prove a maximum principle of optimal control of stochastic delay equations on infinite horizon. We establish first and second sufficient stochastic maximum principles as well as necessary conditions for that problem. We illustrate our results by an application to the optimal consumption rate from an economic quantity.
Nacira Agram +3 more
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Mathematics, 2022 In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
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