Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation
This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order.
O. Moaaz, E. Mahmoud, W. Alharbi
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Stability analysis and observer design for neutral delay systems [PDF]
Copyright [2002] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Burnham, KJ, Lam, J, Wang, Z
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Investigation of Delay-Induced Hopf Bifurcation in a Fractional Neutral-Type Neural Network
This paper investigates stability switches induced by Hopf bifurcation in a fractional three-neuron network that incorporates both neutral time delay and communication delay, as well as a general structure.
Shuai Li, Xinyu Song, Chengdai Huang
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Constraining non standard recombination: A worked example [PDF]
We fit the BOOMERANG, MAXIMA and COBE/DMR measurements of the cosmic microwave background anisotropy in spatially flat cosmological models where departures from standard recombination of the primeval plasma are parametrized through a change in the fine ...
Harari, Diego +2 more
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Oscillation of Certain Neutral Delay Parabolic Equations
The oscillatory behavior of the neutral parabolic differential equation with continuous deviating arguments of the form \[ D_t \left[ u - \sum^m_{i = 1} c_i (t) u(x,t - r_i) \right] = a(t) \Delta u - p(x,t) u - \int^b_a q(x,t, \xi) f \biggl[ u \bigl( x,g (t, \xi) \bigr) \biggr] d \sigma (\xi) \] for \((x,t) \in \Omega \times R_+\), are reduced to the ...
Fu, X.L., Zhuang, W.
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Solving neutral delay differential equations of pantograph type by using multistep block method [PDF]
This paper will implement the use of two-point block method in the form of predictor-corrector Adams-Moulton to solve first order neutral delay differential equations (NDDES) of pantograph type.
Abdul Majid, Zanariah, Hoo, Yann Seong
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OSCILLATION OF PARABOLIC NEUTRAL DELAY DIFFERENCE EQUATIONS [PDF]
The parabolic partial difference equation is considered which is nonlinear and of neutral type \[ \triangle_2(y_{m,n} - p_ny_{m,n-r}) + \sum_{i\in{\mathcal I}}q^{(i)}_{m,n}f(y_{m,n-\sigma_i}) = r_n\nabla^2y_{m-1,n+1} + \sum_{j\in{\mathcal J}}R_{j,n}\nabla^2y_{m-1,n+1-\gamma_j} \] with \({\mathcal I}, {\mathcal J}\) two sets of indices, \(\{y_{m,n}\} = \
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Oscillation of Two-Dimensional Neutral Delay Dynamic Systems
We consider a class of nonlinear two-dimensional dynamic systems of the neutral type (x(t)-a(t)x(τ1(t)))Δ=p(t)f1(y(t)), yΔ(t)=-q(t)f2(x(τ2(t))). We obtain sufficient conditions for all solutions of the system to be oscillatory.
Xinli Zhang, Shanliang Zhu
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Double-slit and electromagnetic models to complete quantum mechanics
We analyze a realistic microscopic model for electronic scattering with the neutral differential delay equations of motion of point charges of the Wheeler-Feynman electrodynamics.
De Luca, Jayme
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Asymptotic properties of the spectrum of neutral delay differential equations
Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability ...
Blyuss, K. B. +3 more
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