Results 31 to 40 of about 371,401 (294)
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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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
core
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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Oscillations in Higher-Order Neutral Differential Equations
Canadian Journal of Mathematics, 1993 AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on
Philos, C. G. +2 more
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FEBS Letters, EarlyView.Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
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
Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]
Opuscula Mathematica, 2017 This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef +2 more
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Differentiability of solutions of abstract neutral integro- differential equations
Journal of Integral Equations and Applications, 2013 This work is concerned with the regularity properties of solutions of abstract neutral integro-differential equations with infinite delay. The results are obtained by using a resolvent operator. Some different cases are discussed when the space is reflexive or has the Radon-Nikodym property.
Henríquez, Hernán R. +1 more
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