Results 31 to 40 of about 367,267 (190)
Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations [PDF]
, 2011 Existence and Lyapunov stability of periodic solutions for a generalized higher-order neutral differential equation are established.
Cheng, Z, Cheung, WS, Ren, J
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Oscillations of higher order neutral differential equations [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1992 AbstractConsider the nth-order neutral differential equation where n ≥ 1, δ = ±1, I, K are initial segments of natural numbers, pi, τi, σk ∈ R and qk ≥ 0 for i ∈ I and k ∈ K. Then a necessary and sufficient condition for the oscillation of all solutions of (E) is that its characteristic equation has no real roots.
Bilchev, S. J. +2 more
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Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
Abstract and Applied Analysis, 2013 The dynamics of a 2-dimensional neural network model in neutral form are investigated. We prove that a sequence of Hopf bifurcations occurs at the origin as the delay increases.
Ming Liu, Xiaofeng Xu
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper examines the oscillatory behavior of solutions to a class of third-order differential equations with bounded and unbounded neutral coefficients. Sufficient conditions for all solutions to be oscillatory are given.
Ercan Tunç +3 more
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On the pricing and hedging of volatility derivatives [PDF]
, 2003 We consider the pricing of a range of volatility derivatives, including volatility and variance swaps and swaptions. Under risk-neutral valuation we provide closed-form formulae for volatility-average and variance swaps for a variety of diffusion and ...
Howison, Sam +2 more
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Oscillation of Impulsive Neutral Delay Differential Equations
Journal of Mathematical Analysis and Applications, 2002 Here, effective sufficient conditions for the oscillation of all solutions to an impulsive neutral delay differential equation are established. The authors reveal the fact that the oscillatory properties of all solutions to the impulsive equation may be caused by the impulsive perturbations.
Graef, J. R. +2 more
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Neutral delay equations from and for population dynamics
Electronic Journal of Qualitative Theory of Differential Equations, 2008 For a certain class of neutral differential equations it is shown that these equations can serve as population models in the sense that they can be interpreted as special cases or caricatures of the standard Gurtin-MacCamy model for a population ...
K. P. Hadeler
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Maximum Principle for Optimal Control of Neutral Stochastic Functional Differential Systems [PDF]
, 2013 In this paper, the optimal control problem of neutral stochastic functional differential equation (NSFDE) is discussed. A class of so-called neutral backward stochastic functional equations of Volterra type (VNBSFEs) are introduced as the adjoint ...
Wei, Wenning
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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
doaj
Control of unstable steady states in neutral time-delayed systems
, 2008 We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a corresponding ...
Blyuss, K. B. +3 more
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