Sentence examples for several variable delays from inspiring English sources

In the present paper we obtain some new stability results for (1.1) with several variable delays.

We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients.

The exponential stability of difference equations with several variable delays and variable coefficients was studied in [16], where the authors obtained interesting conditions for global exponential stability using new computational formulas with respect to the coefficients.

Let us now consider the non-convolution Levin-Nohel integro-differential equations with several variable delays dot{x}(t)+sum_{k=1}^{N} int_{t-r_{k}(t)}^{t} a_{k} t,s x s),ds=0,quad t geq0.

The aim of this section is to provide a transfer theorem for the Levin-Nohel equations with several variable delays of the form dot{x}(t)+sum_{k=1}^{M} int_{t-r_{k}(t)}^{t} a_{k} t,s f_{k} bigl(x s bigr),ds=0,quad tgeq0, (3) where, for each (kin{1,2,ldots,M}), (a_{k} t,s)) and (r_{k}(t)) are measurable functions and (f_{k}) is a Lipschitz function with (f_{k}(0)=0).

In this article, we study a class of the linear neutral differential equation with variable delays, several special cases of which have been studied in [2, 17 19].

Reward magnitude sensitive dopamine neurons in rats show higher sustained activations for several seconds following odours predicting sucrose after a short, fixed delay of 0.5 s compared to long, variable delays of 1 7 s [ 17].

Pavo contains several variable stars of note.

A relatively long (several minutes) and highly variable delay between the application of the estrogens and their observed effects on increasing the Ca oscillation frequency, as well as the lack of a clear concentration dependence of the response magnitudes, suggests that the mechanism of estrogen and xenoestrogen action on Ca signaling involves multiple intracellular events.

Invariably the IRG protein higher in the hierarchy was the first to load, followed after a variable delay of several minutes by the lower member (Fig. 6D, Irgb6 followed by Irgd; Fig. S5, Irga6 followed by Irgd).

Following a variable delay (from minutes to several hours), the mouse is placed back in the test arena, which now contains both familiar (previously shown) objects and new ones.