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Analysis of stochastic neutral fractional functional differential equations
Boundary Value Problems, 2022 This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani +3 more
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Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations
Mathematics, 2022 This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs).
Yunfeng Li, Pei Cheng, Zheng Wu
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Journal of Inequalities and Applications, 2010 This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential
Wansheng Wang
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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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Weighted Fractional Neutral Functional Differential Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2018 Summary: In this paper, we consider a weighted neutral functional differential equation of fractional order ...
Abdo, Mohammed S., Panchal, Satish K.
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Discontinuous solutions of neutral functional differential equations [PDF]
, 1993 The fundamental theory of existence, uniqueness and continuous differentiability of Lp-solutions for Neutral Functional Differential Equations is presented.
Fichmann, L., Oliveira, J. C. F. de
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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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On Neutral Functional–Differential Equations with Proportional Delays
Journal of Mathematical Analysis and Applications, 1997 The paper deals with the well-posedness of the initial value problem for the neutral functional-differential equation \[ y'(t)= ay(t)+ \sum_{i=1}^\infty b_iy(q_it)+ \sum_{i=1}^\infty cy'(p_it), \qquad t>0, \quad y(0)=y_0 \] and the asymptotic behaviour of its solutions.
Iserles, Arieh, Liu, Yunkang
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Stability Behaviour in Functional Differential Equations of the Neutral Type
Universal Journal of Mathematics and Applications, 2021 In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial ...
Ali Fuat Yeniçerioğlu +2 more
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