Results 231 to 240 of about 79,942 (257)

Neutral functional differential equations with infinite delay

Funkcialaj Ekvacioj, 1985
The paper discusses the fundamental theory of neutral functional differential equations (NFDE) with infinite delay on an abstract phase space given by \textit{J. K. Hale} and \textit{J. Kato} [ibid. 21, 11-41 (1978; Zbl 0383.34055)]. The axioms for the phase space are stated in Section 1.
Zhicheng, Wang, Jianhong, Wu
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Exponential stability of certain neutral differential equations

Applied Mathematics and Computation, 2010
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Thaned Rojsiraphisal, Piyapong Niamsup
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Linearized Oscillations for Differential Equations of Neutral Type

Mathematische Nachrichten, 1995
AbstractAbstract.Consider the nonlinear neutral delay differential equationmagnified imagewithP(t),Q(t) continuous, τ > 0, σ> 0. We obtain new sufficient conditions for the oscillation of all solutions by an associate linear equation, and thereby establish some new criteria as proposed in an earlier open problem.
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Neutral Mixed Type Functional Differential Equations

Journal of Dynamics and Differential Equations, 2015
The authors consider implicitly defined equations of mixed type which arose from examining electrical signaling in cardiac tissue and nerve conduction models. They are studying travelling wave solutions \((\phi,c)\) with \(\phi\) waveform and wave speed \(c\) which satisfy the following equation: \[ \sum\limits^N_{j=1}B_j(\xi)\left[-c\phi'(\xi+r_j)+f ...
Lamb, Charles, Van Vleck, Erik S.
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 2001
The problem of periodic solutions for nonlinear neutral functional-differential equations \[ \frac{d}{dt}D(t, x_t)=f(t,x_t) \] is discussed by using coincidence degree theory. A new result on the existence of periodic solutions is obtained.
Peng, Shiguo, Zhu, Siming
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Oscillatory Phenomena in Neutral Delay Differential Equations

Acta Mathematica Hungarica, 1997
Consider the general odd-order delay differential equation of the type \[ x^{(n)}(t)+\sum^m_{i=1} q_ix(t-\sigma_i)=0. \tag{*} \] The authors show that if \(n\) is odd and \[ \frac 1n \left(\sum^m_{i=1}\sigma^n_i q_i\right)^{1/n}>\frac 1e \] then every solution to (*) oscillates.
Das, P., Mishra, B. B.
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Neutral Functional Differential Equations

1999
The present chapter contains some remarks and ideas concerning application of i—smooth calculus to functional differential equations of neutral type. Taking into account essential features of neutral functional differential equations (NFDE) subsequent elaboration of these aspects requires additional investigating properties of invariant differentiable ...
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Forced Oscillations in Nonlinear Neutral Differential Equations

SIAM Journal on Applied Mathematics, 1975
It is known that if a periodic neutral differential equation of certain type (which includes equations like $( {d / dt} )[ {x( t ) - q \times ( {t - r} )} ] = f( {x( t ),x( {t - r} ) + p( t ),| q | < 1,p( t )} )$ periodic) is uniform ultimately bounded, then there is a periodic solution.
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Oscillations of Second Order Neutral Differential Equations

Canadian Mathematical Bulletin, 1993
AbstractIn this paper, we consider the oscillatory behavior of the second order neutral delay differential equationwheret ≥ t0,Tandσare positive constants,a,p, q € C(t0, ∞), R),f ∊ C[R, R]. Some sufficient conditions are established such that the above equation is oscillatory.
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Neutral Delay Differential Equations: Oscillation Conditions for the Solutions

Symmetry, 2021
Abd Allah A Mousa, Omar Bazighifan, Hammad Alotaibi   +2 more
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