Maximum Principle for Optimal Control of Neutral Stochastic Functional Differential Systems [PDF]
, 2013 In this paper, the optimal control problem of neutral stochastic functional differential equation (NSFDE) is discussed. A class of so-called neutral backward stochastic functional equations of Volterra type (VNBSFEs) are introduced as the adjoint ...
Wei, Wenning
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Numerical Algorithm for Nonlinear Delayed Differential Systems of $n$th Order
, 2019 The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for $p$-dimensional delayed and neutral differential systems with constant, proportional and time varying
Rebenda, Josef, Šmarda, Zdeněk
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An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure [PDF]
, 2016 In this paper, we study the averaging principle for neutral stochastic functional differential equations (SFDEs) with Poisson random measure. By stochastic inequality, Burkholder-Davis-Gundy’s inequality and Kunita’s inequality, we prove that the ...
Mao, Wei, Mao, Xuerong
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Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces
The Scientific World Journal, 2014 We construct some results on the regularity of solutions and the approximate controllability for neutral functional differential equations with unbounded principal operators in Hilbert spaces.
Jin-Mun Jeong, Seong Ho Cho
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Existence of fractional neutral functional differential equations
Computers & Mathematics with Applications, 2010 AbstractIn this paper, the initial value problem is discussed for a class of fractional neutral functional differential equations and the criteria on existence are obtained.
Ravi P. Agarwal, Yunyun He, Yong Zhou
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A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation [PDF]
, 2009 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Chartbupapan, Watcharin +2 more
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Bogdanov-Takens bifurcation for neutral functional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
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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 ...
Fan, Meng, Wang, Ke
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Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications [PDF]
, 2012 In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized Banach limit.
Chekroun, Micka ël D. +1 more
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Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations
Abstract and Applied Analysis, 2012 New oscillation criteria are established for the second-order nonlinear neutral functional differential equations of the form (r(t)|z′(t)|α−1z′(t))’+f(t,x[σ(t)])=0, t≥t0, where z(t)=x(t)+p(t)x(τ(t)), p∈C1([t0,∞),[0,∞)), and α≥1.
Shurong Sun +3 more
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