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
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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 ...
Wu, Fuke +2 more
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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.
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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
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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
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Delay-dependent exponential stability of neutral stochastic delay systems (vol 54, pg 147, 2009) [PDF]
, 2009 In the above titled paper originally published in vol. 54, no. 1, pp. 147-152) of IEEE Transactions on Automatic Control, there were some typographical errors in inequalities.
Huang, L.R., Mao, X.R.
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Asymptotic stability of a neutral integro-differential equation [PDF]
Opuscula Mathematica, 2006 The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Gen-qiang Wang, Sui Sun Cheng
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Exponential stability of a class of boundary control systems [PDF]
, 2009 We study a class of partial differential equations (with variable coefficients) on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we provide simple tools to check exponential stability.
Le Gorrec, Yann +3 more
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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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Targeting Relative Inflation Forecast as Monetary Policy Framework for Adopting the Euro [PDF]
, 2005 This study proposes relative inflation forecast targeting as an operational framework of monetary policy for adopting the euro by the EU new Member States.
Orlowski, Lucjan T.
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