Then, torque singular state and modal force singular state are defined and visualized to demonstrate the singularity.
Second, singular configurations were defined and singularity curves were generated.
We focus on the inherent singular nature of slow/fast neural models and define excitability via singular bifurcations.
For, we assume that, denote the trace, the inverse, the transpose, the diagonal elements, the singular values of, respectively, and define.
The technique developed here enables us to expect that results similar to those of this paper can be obtained also for other integral operators, for instance, for maximal and Calderón-Zygmund singular operators defined on.
In this paper we consider abstract singular operators (defined in Section 2) and we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbations.
For all 14 models a decrease in p reduces robustness of both singular variables, defined as the minima of CV1 k and CV2 k over all 81 parameter sets (Fig. 5).
Some researchers have used distinct methods for solving some different equations including the Caputo-Fabrizio (CF) fractional derivative (see [1 7, 9, 10] and the references therein) and multi-singular pointwise defined equations [13 16].
In this paper, if K satisfies (1) and (H_{r,1} -Hörmander condition,1} -Hörmandery the bounded behaviors of variation and oscondition operators for the family of the multilinear singular integrals defined by (4) in (L^{p}(mathbb{R}^{n},omega(x),dx)) ween (D^{alpha}bin BMO(mathbb{R}^{n})) for (vert alpha vert =m).
So, a singular term is defined via a singular term; a general term via a general term; a sentence via a sentence; and so on.
The main purpose of [16] (also of [17 20]) is to give some sufficient conditions for the boundedness of fractional integral operators and singular integral operators defined on homogeneous Lie groups in the local Morrey-type space (LM_{ptheta,w}).
