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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 ...
Fuke Wu, Xuerong Mao
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Existence of fractional neutral functional differential equations [PDF]
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou
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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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The existence of solutions for impulsive neutral functional differential equations
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claudio Cuevas +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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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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Attractivity for neutral functional differential equations
Discrete and Continuous Dynamical Systems - B, 2013 We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional di erential equations with time varying delays. The two main results di er in smoothness properties of delay functions.
Caraballo Garrido, Tomás, Kiss, Gábor
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