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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Interpretation on nonlocal neutral functional differential equations with delay
AIMS Mathematics, 2023 This work deals with the existence and continuous dependence of an integral solution for neutral integro-differential equations with a nonlocal condition.
Kottakkaran Sooppy Nisar +3 more
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Oscillation in neutral partial functional differential equations and inequalities [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 1998 We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions.
X. Fu, Jianhong Wu
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Attractivity for Neutral Functional Differential Equations [PDF]
Discrete & 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.
Caraballo Garrido, Tomás, Kiss, Gábor
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Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition [PDF]
, 2017 In this paper, a general neutral stochastic functional differential equations with infinite delay and Lévy jumps (NSFDEwLJs) is studied. We investigate the existence and uniqueness of solutions to NSFDEwLJs at the phase space Cg under the local ...
Wei Mao, Liangjian Hu, Xuerong Mao
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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) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Chinese Scholarship Council (Funder) +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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Stability of simple periodic solutions of neutral functional differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2003 We study the stability property of a simple periodic solution of an autonomous neutral functional differential equation (NFDE) of the form $${d\over dt} D(x_t) = f (x_t).$$ A new proof based on local integral manifold theory and the implicit function ...
Z. Shao, Y. Lu
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Periodic solutions of convex neutral functional differential equations [PDF]
Tohoku Mathematical Journal, 2000 In this paper, the authors study the existence of periodic solutions to neutral differential equations. It is proved that for convex neutral functional-differential equations of \(D\)-operator type with finite (or infinite) delay and hyperneutral functional-differential equations with finite delay the problem of the existence of periodic solutions is ...
Meng Fan, Ke Wang
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Discontinuous solutions of neutral functional differential equations [PDF]
Publicacions Matemàtiques, 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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