Results 131 to 140 of about 169 (168)

Sensitivity to Infinitesimal Delays in Neutral Equations

SIAM Journal on Control and Optimization, 2002
Sensitivity of neutral functional-differential equations to infinitesimal changes of the delays is caused by the behavior of the essential spectrum, which is determined by the roots of an exponential polynomial. \textit{C. E. Avellar} [J. Math. Anal. Appl. 73, 434-452 (1980; Zbl 0435.30005)] have considered the case of multiple fixed and nonzero delays.
Wim Michiels, Koen Engelborghs, Dirk Roose, Denis Dochain   +3 more
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Stability in neutral equations

Nonlinear Analysis: Theory, Methods & Applications, 1977
Abstract : Coupled systems of differential-difference and ordinary difference equations occur in various applications including the theory of transmission lines (1) and gas dynamics (2). Stability of linear systems has been discussed by Brayton (1) using Laplace transform and the problem of absolute stability by Rasvan (12) using the frequency domain ...
Hale, Jack K., Martinez-Amores, Pedro
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An Oscillation Result for Singular Neutral Equations

Canadian Mathematical Bulletin, 1994
AbstractIn this paper, extending the results in [ 1 ], we establish a necessary and sufficient condition for oscillation in a large class of singular (i.e., the difference operator is nonatomic) neutral equations.
Györi, István, Turi, Janos
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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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Singular risk-neutral valuation equations

Finance and Stochastics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristina Costantini, Marco Papi, Fernanda D'Ippoliti   +2 more
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Neutral Differential Equations

2012
Chapter 6 deals with nonoscillation and oscillation properties of scalar linear neutral differential equations. There are two kinds of neutral equations, one of them can be integrated leading to a term with a concentrated delay and an integral term; the second type which is considered in this chapter has a derivative involved both without a delay and ...
Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky   +3 more
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OSCILLATIONS OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS

Far East Journal of Applied Mathematics, 2018
Summary: In this paper, we consider the oscillations of nonlinear neutral differential equations with non-monotone advanced arguments.
Wang, Pei-Ying, Wang, Gen-Qiang
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Oscillations of Second Order Neutral Equations

Canadian Journal of Mathematics, 1988
Consider the second order neutral differential equation1where the coefficients p and q and the deviating arguments τ and σ are real numbers. The characteristic equation of Eq. (1) is2The main result in this paper is the following necessary and sufficient condition for all solutions of Eq. (1) to oscillate.THEOREM.
Ladas, G, Partheniadis, E. C., Sficas, Y. G.   +2 more
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Equations of neutral type

1977
In vague terms, a neutral functional differential equation is one in which the derivatives of the past history or derivatives of functionals of the past history are involved as well as the present state of the system. When the derivatives of the past history enter in an arbitrary manner, most of the literature is devoted to existence, uniqueness, and ...
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On Some Conjectures on Neutral Differential Equations

Canadian Mathematical Bulletin, 1991
AbstractIn [2], Ladas and Sficas made two conjectures about the asymptotic behavior of solutions of some neutral differential equations. In this paper we confirm that these conjectures are indeed correct.
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