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Stability in neutral equations
Nonlinear Analysis: Theory, Methods & Applications, 1977Abstract : 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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Oscillations of Neutral Delay Differential Equations
Canadian Mathematical Bulletin, 1986AbstractThe 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristina Costantini +2 more
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An Oscillation Result for Singular Neutral Equations
Canadian Mathematical Bulletin, 1994AbstractIn 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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Neutral Differential Equations
2012Chapter 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 +3 more
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OSCILLATIONS OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
Far East Journal of Applied Mathematics, 2018Summary: 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, 1988Consider 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 +2 more
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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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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, 1991AbstractIn [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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Oscillation of Neutral Functional Differential Equations
Acta Mathematica Hungarica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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