Oscillations for Neutral Functional Differential Equations [PDF]
The Scientific World Journal, 2014 We will consider a class of neutral functional differential equations. Some infinite integral conditions for the oscillation of all solutions are derived. Our results extend and improve some of the previous results in the literature.
Fatima N. Ahmed +3 more
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Numerical Solutions of Neutral Stochastic Functional Differential Equations [PDF]
SIAM Journal on Numerical Analysis, 2008 This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$. The key contribution is to establish the strong mean square convergence theory of the Euler-Maruyama approximate solution under the local Lipschitz condition, the linear growth condition, and ...
Wu, Fuke +2 more
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Stability of Nonlinear Neutral Stochastic Functional Differential Equations
Journal of Applied Mathematics, 2010 Neutral stochastic functional differential equations (NSFDEs) have recently been studied intensively. The well-known conditions imposed for the existence and uniqueness and exponential stability of the global solution are the local Lipschitz condition ...
Minggao Xue, Shaobo Zhou, Shigeng Hu
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Periodic Solutions of Functional Differential Equations of Neutral Type
Journal of Mathematical Analysis and Applications, 1996 The paper deals with neutral functional differential equations of the form \[ d/dt\left[x(t)-G(t,x_t)\right] =F(t,x_t),\tag{1} \] where \(F\) and \(G\) are continuous and \(T\) periodic in \(t\). Moreover for all \(r>0\) there exists a real function \(W\) defined on \(\mathbb{R}^+\), \(\lim_{b\to 0^+}W(b)=0\), such that \(|G(t,x_t)-G(s,x_s)|\leq W|t-s|\
Babram, M. Ait +2 more
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]
, 2008 The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui +7 more
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Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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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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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo +5 more
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