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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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. Also, the spectrum of the solution operator of general autonomous linear NFDEs is described. Finally, an extension of Hartman Grobman Theorem on local conjugacy near a hyperbolic equilibrium is ...
De Oliveira, J. C. F., Fichmann, L.
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Forward and backward continuation for neutral functional differential equations
Journal of Differential Equations, 1970 Basic theory of existence, uniqueness, and continuation for neutral functional differential ...
Jack K. Hale
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Oscillation theorems for certain neutral functional differential equations
Computers & Mathematics with Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ravi P. Agarwal, Said R. Grace
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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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Numerical solution of neutral functional-differential equations with proportional delays
, 2017 In this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and error
Mehmet Giyas Sakar
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Kragujevac Journal of Mathematics, 2022 In this paper, the shifted Gegenbauer-Gauss collocation (SGGC) method is applied to fractional neutral functional-differential equations with proportional delays.
R. Hafez, Youssri Hassan Youssri
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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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Existence and Stability of Ulam–Hyers for Neutral Stochastic Functional Differential Equations
Bulletin of the Iranian Mathematical Society, 2023 The primary aim of this paper is to focus on the stability analysis of an advanced neural stochastic functional differential equation with finite delay driven by a fractional Brownian motion in a Hilbert space.
A. Selvam +3 more
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Neutral Backward Stochastic Functional Differential Equations and Their Application [PDF]
, 2013 In this paper we are concerned with a new type of backward equations with anticipation which we call neutral backward stochastic functional differential equations. We obtain the existence and uniqueness and prove a comparison theorem.
Wenning Wei
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