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On level crossing in neutral integrodifferential equations
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. A. S. Zaghrout +2 more
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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 problem of relative controllability for linear systems of neutral differential equations with a delay is investigated. An equivalent condition of Kalman type is proved. All the control functions leading the system from an initial state to a desired arbitrary point are characterized in terms of shifted Legendre polynomials.
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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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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Entropy, 2021Maria Alessandra Ragusa +2 more
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Neutral Delay Differential Equations: Oscillation Conditions for the Solutions
Symmetry, 2021Abd Allah A Mousa +2 more
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Existence of Fractional Neutral Functional Differential Equations
Computers and Mathematics With Applications, 2010Yong Zhou, R P Agarwal
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Some Remarks on Oscillation of Second Order Neutral Differential Equations
Applied Mathematics and Computation, 2016Tongxing Li +2 more
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