Utilizing fractional-order operator to Alzheimer's disease dynamics. [PDF]
Nisar KS, Farman M.
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Extreme events in gene regulatory networks with time-delays. [PDF]
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Partial element equivalent circuit modeling of distributed and lumped time-varying dielectric phenomena. [PDF]
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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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Oscillatory Phenomena in Neutral Delay Differential Equations
Acta Mathematica Hungarica, 1997Consider 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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