Results 1 to 10 of about 257,023 (328)
On linear Volterra difference equations with infinite delay [PDF]
Advances in Difference Equations, 2006 Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established.
Philos Ch G, Purnaras IK
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SEIR epidemiological model with varying infectivity and infinite delay [PDF]
Mathematical Biosciences and Engineering, 2008 A new SEIR model with distributed infinite delay is derived whenthe infectivity depends on the age of infection. The basic reproduction numberR0, which is a threshold quantity for the stability of equilibria, is calculated.If $R_0$ 1, then an ...
Gergely Röst, Jianhong Wu
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A maximum principle for infinite horizon delay equations [PDF]
SIAM Journal on Mathematical Analysis, 2012 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.
Nacira Agram +3 more
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On a class of differential-algebraic equations with infinite delay
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We study the set of $T$-periodic solutions of a class of $T$-periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay.
Luca Bisconti, Marco Spadini
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Functional differential equations with infinite delay in Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being ...
Jin Liang, Tijun Xiao
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Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
Advances in Difference Equations, 2011 We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space .
Li Fang
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Mathematics, 2023 This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib +3 more
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Fractal and Fractional, 2022 The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
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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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