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OSCILLATIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Acta Mathematica Scientia, 1992This paper presents sufficient conditions for all the solutions of some classes of neutral functional differential equations (NFDE) to oscillate. Under consideration are (i) a class of NFDE of retarded type \[ [x(t)- px(t-\tau)]'+\sum^ n_{i=1}q_ ix(t-\sigma_ i)=0, \tag{1} \] where \(p\geq 0\), \(\tau\), \(q_ i\) and the \(\sigma_ i\) are positive ...
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Relative Controllability of Neutral Differential Equations with a Delay
SIAM Journal on Control and Optimization, 2017The authors investigate the relative controllability of the delay-differential system of neutral type \[ \dot{x}(t) - C\dot{x}(t-\tau) = B x(t-\tau) + b u(t) \] when the matrices \(B\) and \(C\) commute. The fundamental solution of this system is piecewise polynomial; its expression, derived in [\textit{M. Pospíšil} and \textit{L.
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LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE
1997The following logistic neutral functional-differential equation describes some type of population dynamics (consistent with the experiment on the population of Daphnia magna) accounting retardation due to the processes of growing up and maturation: \[ N'=rN\left(1- {N(t-h)+\rho N'(t-h)\over K}\right) . \] The boundedness and asymptotic stability of its
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Positive periodic solutions for a periodic neutral differential equation with feedback control
Nonlinear Analysis: Real World Applications, 2005Yongkun Li
exaly
Oscillation of neutral differential equation with positive and negative coefficients
Journal of Mathematical Analysis and Applications, 2007Özkan Ocalan
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Periodic solutions of a neutral differential equation with piecewise constant arguments
Journal of Mathematical Analysis and Applications, 2007Gen-Qiang Wang
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On the oscillation of an nth-order nonlinear neutral delay differential equation
Journal of Computational and Applied Mathematics, 1992John R Graef, Paul W Spikes
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