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Numerical solutions of neutral stochastic functional differential equations [PDF]
, 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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On a functional-differential equation of neutral type
Journal of Mathematical Analysis and Applications, 1971 In recent years much work has been done on functional-differential equations. The excellent texts of Bellman & Cooke [l] and Halanay [5], besides others, bear testimony to it. These equations were classified into three main categories (cf. Bellman & Cooke El]), th a is, equations with delay, of neutral t type and of advanced arguments. The last two are
N Parhi, P.C Das
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On exponential stability of linear non-autonomous functional differential equations of neutral type [PDF]
, 2017 © 2016 Informa UK Limited, trading as Taylor & Francis Group. General linear non-autonomous functional differential equations of neutral type are considered.
Ha, Q, Ngoc, PHA
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative.
J. Lazreg +3 more
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Axioms, 2021 In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem.
F. Acharya +3 more
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On solutions of differential-functional equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2013 We obtain sufficient conditions for existence of continuously differentiable solutions of differential-functional equations of neutral type with linear deviations of the argument bounded on $t \in \mathbb{R}^{-}$.
R. I. Kachurivsky
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Stability results for the functional differential equations associated to water hammer in hydraulics
Electronic Journal of Qualitative Theory of Differential Equations, 2022 There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
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On Neutral Functional–Differential Equations with Proportional Delays
Journal of Mathematical Analysis and Applications, 1997 The paper deals with the well-posedness of the initial value problem for the neutral functional-differential equation \[ y'(t)= ay(t)+ \sum_{i=1}^\infty b_iy(q_it)+ \sum_{i=1}^\infty cy'(p_it), \qquad t>0, \quad y(0)=y_0 \] and the asymptotic behaviour of its solutions.
Arieh Iserles, Yunkang Liu
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, 2020 This paper deals with the existence of three positive periodic solutions for a class of second order neutral functional differential equations involving the delayed derivative term in nonlinearity ( x ( t ) − c x ( t − δ ) ) ″ + a ( t ) g ( x ( t ) ) x (
He Yang, Lu-ming Zhang
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Stability of functional differential equations of neutral type
Journal of Differential Equations, 1970 Abstract : A functional differential equation of neutral type is a differential system in which the rate of change of the system depends not only upon the past history but also the derivative of the past history of the system. For example, the system (1.1) x dot (t) + A x dot (t - 1) = f(t,x(t),x(t - 1)) is a functional differential or differential ...
Jack K. Hale, Marianito A. Cruz
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