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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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Existence of fractional neutral functional differential equations [PDF]
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou
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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) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$. The key contribution is to establish the strong mean square convergence theory of the Euler-Maruyama approximate solution under the local Lipschitz condition, the linear growth condition, and ...
Fuke Wu, Xuerong Mao
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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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On a functional-differential equation of neutral type [PDF]
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
Das, P.C, Parhi, N
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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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Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations [PDF]
Stochastics, 2022 In this paper, by using the Gronwall inequality, we show two new results on the UlamHyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential equations.
Tomáš Caraballo, Lassaad Mchiri
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Oscillation of solutions for odd-order neutral functional differential equations [PDF]
Electronic Journal of Differential Equations, 2010 In this article, we establish oscillation criteria for all solutions to the neutral differential equations $$ [x(t)pm ax(tpm h)pm bx(tpm g)]^{(n)} =pint_c^d x(t-xi)dxi+qint_c^d x(t+xi)dxi, $$ where $n$ is odd, $h$, $g$, $a$ and $b$ are nonnegative
Tuncay Candan
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Periodic Solutions of Functional Differential Equations of Neutral Type [PDF]
Journal of Mathematical Analysis and Applications, 1996 The paper deals with neutral functional differential equations of the form \[ d/dt\left[x(t)-G(t,x_t)\right] =F(t,x_t),\tag{1} \] where \(F\) and \(G\) are continuous and \(T\) periodic in \(t\). Moreover for all \(r>0\) there exists a real function \(W\) defined on \(\mathbb{R}^+\), \(\lim_{b\to 0^+}W(b)=0\), such that \(|G(t,x_t)-G(s,x_s)|\leq W|t-s|\
Babram, M. Ait +2 more
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The existence of solutions for impulsive neutral functional differential equations
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claudio Cuevas +2 more
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