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Formation of advanced soliton dynamics through the M-fractional regularized long-wave equation. [PDF]
Hossain MM +3 more
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Exploring the exact solutions of the Kuramoto-Sivashinsky equation with advection noise in fluid dynamics. [PDF]
Obeidat ST, Rizk D, Mohammed WW.
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Role of Aspartate 86 in the Catalytic Mechanism of <i>Escherichia coli</i> Glutamate Decarboxylase. [PDF]
Giovannercole F +3 more
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Fuzzy fractional neutral equation
2020 IEEE 6th International Conference on Optimization and Applications (ICOA), 2020This paper is devoted to a class of nonlinear fuzzy neutral functional differential equations. Specifically, existence and uniqueness of fuzzy solution for the nonlinear fuzzy neutral functional differential equation\begin{equation*} {}_{gH}D^{\gamma}[x(t)-gf(t,\ x_{t})]=Ax(t)+g(t,\ x_{t}). \end{equation*} where $A$ is an operator from $E^{1}$ into
M. Elomari +3 more
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Stability in neutral equations
Nonlinear Analysis: Theory, Methods & Applications, 1977Abstract : Coupled systems of differential-difference and ordinary difference equations occur in various applications including the theory of transmission lines (1) and gas dynamics (2). Stability of linear systems has been discussed by Brayton (1) using Laplace transform and the problem of absolute stability by Rasvan (12) using the frequency domain ...
Hale, Jack K., Martinez-Amores, Pedro
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OSCILLATIONS OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
Far East Journal of Applied Mathematics, 2018Summary: In this paper, we consider the oscillations of nonlinear neutral differential equations with non-monotone advanced arguments.
Wang, Pei-Ying, Wang, Gen-Qiang
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Oscillations of Second Order Neutral Equations
Canadian Journal of Mathematics, 1988Consider the second order neutral differential equation1where the coefficients p and q and the deviating arguments τ and σ are real numbers. The characteristic equation of Eq. (1) is2The main result in this paper is the following necessary and sufficient condition for all solutions of Eq. (1) to oscillate.THEOREM.
Ladas, G +2 more
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Neutral Differential Equations
2012Chapter 6 deals with nonoscillation and oscillation properties of scalar linear neutral differential equations. There are two kinds of neutral equations, one of them can be integrated leading to a term with a concentrated delay and an integral term; the second type which is considered in this chapter has a derivative involved both without a delay and ...
Ravi P. Agarwal +3 more
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Neutral Mixed Type Functional Differential Equations
Journal of Dynamics and Differential Equations, 2015The 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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