Results 21 to 30 of about 2,468,981 (349)
Boundary value problem for fractional neutral differential equations with infinite delay
Abhath Journal of Basic and Applied Sciences, 2022 In this article, we develop and extend some qualitative analyses of a class of neutral functional differential equations involving a Caputo fractional derivative over the infinite delay period.
Mohammed S. Abdo
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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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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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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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Evolution Equations and Control Theory, 2021 In our manuscript, we organize a group of sufficient conditions of neutral integro-differential inclusions of Sobolev-type with infinite delay via resolvent operators.
V. Vijayakumar +2 more
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Fractal and Fractional, 2021 The existence of solutions for a class of nonlinear neutral Hadamard-type fractional integro-differential equations with infinite delay is researched in this paper.
Kaihong Zhao, Yue Ma
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Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay
Nonautonomous Dynamical Systems, 2021 In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
F. Norouzi, G. N’Guérékata
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Infinite horizon optimal control of forward-backward stochastic differential equations with delay [PDF]
, 2013 We consider a problem of optimal control of an infinite horizon system governed by forward-backward stochastic differential equations with delay. Sufficient and necessary maximum principles for optimal control under partial information in infinite ...
Agram, Nacira, Øksendal, Bernt
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Center manifolds for infinite delay
Journal of Differential Equations, 2009 AbstractWe obtain a C1 center manifold theorem for perturbations of delay difference equations in Banach spaces with infinite delay. Our results extend in several directions the existing center manifold theorems. Besides considering infinite delay equations, we consider perturbations of nonuniform exponential trichotomies and generalized trichotomies ...
Luis Barreira, Claudia Valls
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