Mathematics, 2022 This paper examines the numerical solutions of the neutral stochastic functional differential equation. This study establishes the discrete stochastic Razumikhin-type theorem to investigate the exponential stability in the mean square sense of the Euler ...
Qi Wang, Huabin Chen, Chenggui Yuan
doaj +1 more source
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 ...
Wu, Fuke +2 more
openaire +3 more sources
Measure Neutral Functional Differential Equations as Generalized ODEs [PDF]
, 2019 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FEMAT-Fundacao de Estudos em Ciencias MatematicasCNPq: 309344/2017-4CNPq: 152258/2010-8CNPq: 407952/2016-0CNPq: 141947/2009 ...
Tacuri, P. H. +4 more
core +1 more source
On the asymptotic behavior of neutral functional differential equations
Archiv der Mathematik, 1983 On considere une equation differentielle fonctionnelle de type neutre {x(t)−g(t,x t )}'=f(t,x t ) ou f et g sont des fonctions continues de J×C r →R n , J=[t o ,t 0 +A]
Ntouyas, S. K., Sficas, Y. G.
openaire +2 more sources
A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
, 1979 For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ) Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Infante, E.F, Castelan, W.B
core +1 more source
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.
Iserles, Arieh, Liu, Yunkang
openaire +2 more sources
Oscillation of mixed neutral functional differential equations with distributed deviating arguments [PDF]
, 2008 In this paper, we shall consider mixed neutral functional differential equations. New results on sufficient conditions for the oscillation behavior of solutions for this functional differential equation are presented.
Dahiya R.S., Candan T.
core +1 more source
Existence of fractional neutral functional differential equations
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ravi P. Agarwal +2 more
openaire +1 more source
Oscillation criteria for second order neutral differential equations [PDF]
, 1990 summary:Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation \big(x(t)-px(t-\tau)\big)"+q(t)x\big(\sigma(t)\big ...
Mihalíková, Božena +4 more
core +1 more source
Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay [PDF]
Opuscula Mathematica, 2012 We use a variant of Krasnoselskii's fixed point theorem by T. A. Burton to show that the nonlinear neutral differential equation with functional delay \[x'(t) = -a(t)h(x(t)) +c(t)x'(t-g(t)) + q(t,x(t) x(t-g(t)))\] has a periodic solution.
Ernest Yankson
doaj +1 more source