Sentence examples for neutral operator from inspiring English sources

In [1], Zhang discussed the properties of the neutral operator ( A 1 x ) ( t ) = x ( t ) − c x ( t − δ ), which became an effective tool for the research on differential equations with this prescribed neutral operator (see, e.g., [2 4]).

For example, the neutral operator (A_{1}) is homogeneous in the following sense ((A_{1} x)'(t)=(A_{1} x')(t)), whereas the neutral operator A in general is inhomogeneous.

Firstly, we give qualitative properties of the neutral operator ((Ax)(t):=x t -c(t)x(t-sigma)).

Afterwards, Du et al. [6] studied the neutral operator ( A 3 x ) ( t ) = x ( t ) − c ( t ) x ( t − δ ), here c ( t ) is ω-periodic functions.

There are not so many results concerning the existence of a positive periodic solution for (1.1) even when we have a neutral operator.

Recently, in [7], Ren et al. investigated the neutral operator with variable delay ( A 4 ) x ( t ) − c x ( t − δ ( t ) ).

But in the league's changes to its operations manual for 2007, it mandated that neutral operators, who have not previously worked that team's home games, run the coach-to-quarterback radio systems, as well as game clocks, for playoff games.

Because of the Theory of Neutral Operators, it is true that 7+ 7/6 = 7 * 7/6 = 49/6 = 8 and 1/6.

In addition to requiring neutral operators for coach-to-quarterback radio systems during playoff games, the league said players with radio components in their helmets must wear a decal — a lime-green dot — "displayed on the midline of the rear of the helmet".

Consider ZTE's treatment of San Francisco-based Via Licensing Corp, a Swiss-neutral operator of patent pools covering wireless, digital audio, and other building-block components of complex products.

The descriptor approach is applied for both the delay-differential equation and the neutral difference operator allowing to introduce several additional free weighting matrices in order to obtain further relaxation in the synthesis process.