Oscillations of Neutral Delay Differential Equations
Canadian Mathematical Bulletin, 1986 AbstractThe oscillatory behavior of the solutions of the neutral delay differential equationwhere p, τ, and a are positive constants and Q ∊ C([t0, ∞), ℝ+), are studied.
Ladas, G., Sficas, Y. G.
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On delay-dependent stability for neutral delay-differential systems [PDF]
, 2001 The author studies stability problems for linear neutral differential delay systems via the so-called linear matrix inequalities method, which is simply the well-known Lyapunov functional method. Both delay (appear in the retarded terms) dependent and delay independent results are reported. Computational examples via MATLAB are also provided.
Han, Q. L., Qing-Long Han (9801650)
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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]
, 2008 The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui +7 more
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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) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke +2 more
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Sensitivity to Infinitesimal Delays in Neutral Equations
SIAM Journal on Control and Optimization, 2002 The stability of a steady state solution of a neutral functional differential equation can be sensitive to infinitesimal changes in the delays. This phenomenon is caused by the behavior of the essential spectrum and is determined by the roots of an exponential polynomial. Avellar and Hale [J. Math. Anal. Appl., 73 (1980), pp.
Wim Michiels +3 more
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Important Criteria for Asymptotic Properties of Nonlinear Differential Equations
Mathematics, 2021 In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject.
Ahmed AlGhamdi +2 more
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Regularization of Neutral Delay Differential Equations with Several Delays
Journal of Dynamics and Differential Equations, 2013 This paper is concerned with the system of neutral delay differential equations \[ \dot{y}(t)=f(y(t), \dot{y}(\alpha_1(y(t))), \cdots, \dot{y}(\alpha_m(y(t))) \text{ for } t>0, \] \[ y(t)=\varphi(t) \text{ for } t\leq 0, \] with smooth functions \(f(y, z_1, z_2, \cdots, z_m)\), \(\varphi(t)\) and \(\alpha_j(t)\).
GUGLIELMI, NICOLA, HAIRER E.
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Effect of time delay on recognition memory for pictures: the modulatory role of emotion. [PDF]
PLoS ONE, 2014 This study investigated the modulatory role of emotion in the effect of time delay on recognition memory for pictures. Participants viewed neutral, positive and negative pictures, and took a recognition memory test 5 minutes, 24 hours, or 1 week after ...
Bo Wang
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Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
, 2005 We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
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On retarded nonlinear time-delay systems that generate neutral input-output equations
, 2022 S.49-60In this work retarded nonlinear time-delay systems that surprisingly admit an input-output representation of neutral type are discussed. It is shown that such a behaviour is a strictly nonlinear phenomenon, as it cannot happen in the linear time ...
Anguelova, M., Halas, M.
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