Results 1 to 10 of about 19,234 (260)
Asymptotic Stability of Differential Equations with Infinite Delay [PDF]
Journal of Applied Mathematics, 2012 A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
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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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Viability for Semilinear Differential Equations with Infinite Delay [PDF]
Mathematics, 2016 Let X be a Banach space, A : D ( A ) ⊂ X → X the generator of a compact C 0 -semigroup S ( t ) : X → X , t ≥ 0 , D ( · ) : ( a , b ) → 2 X a tube in X, and f : ( a , b ) × B → X a function of Carathéodory type.
Qixiang Dong, Gang Li
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C^k invariant manifolds for infinite delay
Electronic Journal of Differential Equations, 2019 For a non-autonomous delay difference equation with infinite delay, we construct smooth stable and unstable invariant manifolds for any sufficiently small perturbation of an exponential dichotomy.
Luis Barreira, Claudia Valls
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On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay [PDF]
Journal of Applied Mathematics, 2012 Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s ...
Fang Li, Ti-Jun Xiao, Hong-Kun Xu
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Impulsive fractional differential inclusions with infinite delay
Electronic Journal of Differential Equations, 2013 In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.
Khalida Aissani, Mouffak Benchohra
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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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