Results 31 to 40 of about 16,431 (159)
A class of Neutral Functional Differential Equations
Journal of Differential Equations, 1972 Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
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Abstract and Applied Analysis, 2013 Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations
Xiaofeng Zong, Fuke Wu, Chengming Huang
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Stability of simple periodic solutions of neutral functional differential equations
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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Oscillations in Neutral Functional Differential Equations [PDF]
, 2010 Some time ago [1], the author announced a result on the Fredholm alternative for the existence of periodic solutions of a non-homogeneous linear neutral functional differential equation (NFDE). In this paper, we indicate a proof of this result and, at the same time, use the method of proof to give a brief survey of some recent developments in the ...
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Measure Neutral Functional Differential Equations as Generalized ODEs
Journal of Dynamics and Differential Equations, 2018 The authors consider integral equations of the form \[ x(t)=x(t_0)+\int_{t_0}^t f(x_s,s)\,\mathrm{d}g(s)+\int_{-r}^0 \mathrm{d}_\theta[\mu(t,\theta)]x(t+\theta)-\int_{-r}^0 \mathrm{d}_\theta[\mu(t_0,\theta)]\varphi(\theta), \] for which they coin the term ``measure neutral functional differential equations''.
M. Federson +3 more
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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Oscillation for Certain Nonlinear Neutral Partial Differential Equations
International Journal of Differential Equations, 2010 We present some new oscillation criteria for second-order neutral partial functional differential equations of the form (∂/∂t){p(t)(∂/∂t)[u(x,t)+∑i=1lλi(t)u(x,t-τi)]}=a(t)Δu(x,t)+∑k=1sak(t)Δu(x,t-ρk(t))-q(x,t)f(u(x,t))-∑j=1mqj(x,t)fj(u(x,t-σj)), (x,t)∈Ω ...
Quanwen Lin, Rongkun Zhuang
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About nondecreasing solutions for first order neutral functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Conditions that solutions of the first order neutral functional differential equation \[ (Mx)(t)\equiv x^{\prime }(t)-(Sx^{\prime })(t)-(Ax)(t)+(Bx)(t)=f(t), t\in \lbrack 0,\omega ], \] are nondecreasing are obtained.
Alexander Domoshnitsky +2 more
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On solutions of differential-functional equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2011 We obtain sufficient conditions for existence of continuouslydifferentiable solutions of differential-functional equations ofneutral type with linear deviations of the argument bounded on$tinmathbb{R}^-$.
R. I. Kachurivsky
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Topologies for neutral functional differential equations
Journal of Differential Equations, 1973 Bounded topologies are considered for functional differential equations of the neutral type in which present dynamics of the system are influenced by its past behavior. A special bounded topology is generated on a collection of absolutely continuous functions with essentially bounded derivatives, and an application to a class of nonlinear neutral ...
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