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Problem of control and stabilization for uncertain dynamical systems with deviating argument is modern now.
In this paper, fractional optimal control problems for fractional dynamic systems with deviating argument are presented.
The inequality on deviating argument is essential as the following equation (2.18).
The half-linear difference equations with the deviating argument, are considered.
Neural networks with deviating argument conjugate continuous neural networks and discrete neural networks.
This paper is concerned with the Mittag-Leffler stability of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument.
All the aforementioned results are related to equations with repulsive singularity or equations with time-independent deviating argument.
Naturally, a new question arises: how the Rayleigh equation with attractive singularity works on time-dependent deviating argument?
Very few of them are about the stability of fractional-order Cohen-Grossberg neural networks with deviating argument and the existing results cannot be applied straightforwardly to fractional-order Cohen-Grossberg neural networks with deviating argument.
In this article, a class of fourth-order difference equations with quasi-differences and deviating argument is considered.
We study the role of the deviating argument, especially as regards the growth of the nonoscillatory solutions and the oscillation.
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