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ensures oscillation of (1.6).

In [8], Baculíková and Džurina obtained that the condition a > 1 + 2 p 0 e ln 2. ensures oscillation of (2.16) (using Theorem 1.1).

Observe that Theorem 4′ of [5] ensures oscillation of (8) provided λ < 1, (13) and certain additional assumptions on α β γ.

However, applications of Theorem 1.2 and Theorem 1.4 (by letting α ( t ) = t ) yield that a > 1 2 + p 0. ensures oscillation of (2.17).

Now we consider the conditions ensuring oscillation of the case of, that is, considering the conditions ensuring oscillation of the bounded solutions of (1.1).

Therefore, it is of special interest to establish new criteria ensuring oscillation of all solutions of (1.1) when (tau(t)< t).

Using the latter inequality and ρ ( t ) = t in (1.3), we observe that Theorem 1.1 cannot ensure oscillation of (3.1) on the interval ( 5, 5.073 ]. Therefore, Corollary 2.4 improves Theorem 1.1. Remark 3.2 In this paper, several new oscillation criteria for equation (1.1) are obtained by using the Riccati substitution and Bernoulli's inequality.

From the results, it is clear that with an increase of disturbance level, the STD of the generated torque increases, which ensures more oscillation on the drive train.

SMC is a means to control pressurized water nuclear reactor (PWR) power for the load following operation problem in a way that ensures xenon oscillations are kept bounded within acceptable limits.

In this paper, sliding mode control (SMC) which is a robust nonlinear controller is designed to control the Pressurized-Water Nuclear Reactor (PWR) power for the load-following operation problem that ensures xenon oscillations are kept bounded within acceptable limits.

Furthermore, it is thought that the Notch, Wnt, and Fgf oscillators need to be entrained by a so-called pacemaker to ensure that oscillations occur with the correct periodicity.