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Delay‐dependent stability of highly nonlinear neutral stochastic functional differential equations
International Journal of Robust and Nonlinear Control, 2022 This article focuses on the delay‐dependent stability of highly nonlinear hybrid neutral stochastic functional differential equations (NSFDEs). The delay dependent stability criteria for a class of highly nonlinear hybrid NSFDEs are derived via the ...
Mingxuan Shen +4 more
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On exponential stability of linear non-autonomous functional differential equations of neutral type [PDF]
, 2017 © 2016 Informa UK Limited, trading as Taylor & Francis Group. General linear non-autonomous functional differential equations of neutral type are considered.
Ha, Q, Ngoc, PHA
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Differential Equations & Applications, 2022 . This study purposes to present some new comparison theorems that guarantee the oscillation of all solutions of third-order functional differential equations with mixed neutral term i.e., the neutral term contains both retarded and advanced arguments ...
O. Özdemir, Şehri Kaya
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Axioms, 2021 In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem.
F. Acharya +3 more
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Stability results for the functional differential equations associated to water hammer in hydraulics
Electronic Journal of Qualitative Theory of Differential Equations, 2022 There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
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On solutions of differential-functional equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2013 We obtain sufficient conditions for existence of continuously differentiable solutions of differential-functional equations of neutral type with linear deviations of the argument bounded on $t \in \mathbb{R}^{-}$.
R. I. Kachurivsky
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Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay [PDF]
, 2016 In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.Fondo Europeo de Desarrollo ...
Boudaoui, Ahmed +2 more
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, 2020 This paper deals with the existence of three positive periodic solutions for a class of second order neutral functional differential equations involving the delayed derivative term in nonlinearity ( x ( t ) − c x ( t − δ ) ) ″ + a ( t ) g ( x ( t ) ) x (
He Yang, Lu-ming Zhang
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Existence of solutions and stability for impulsive neutral stochastic functional differential equations [PDF]
, 2019 In this paper we prove some results on the existence of solutions and the mean square asymptotic stability for a class of impulsive neutral stochastic differential systems with variable delays by using a contraction mapping principle.
Benhadri, Mimia +2 more
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An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure [PDF]
, 2016 In this paper, we study the averaging principle for neutral stochastic functional differential equations (SFDEs) with Poisson random measure. By stochastic inequality, Burkholder-Davis-Gundy’s inequality and Kunita’s inequality, we prove that the ...
Mao, Wei, Mao, Xuerong
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