Sentence examples for establish a delay from inspiring English sources

In [13], the authors establish a delay differential inequality with impulsive initial conditions and derive some sufficient conditions ensuring the exponential stability of solutions for the impulsive differential equations.

In this section, we first establish a delay-dependent sufficient condition under which system (5) is asymptotically stable with a prescribed (mathcal{H_{infty}}) performance γ.

The interplay between these polarity complexes and the actomyosin system seems to establish a delayed negative feedback that promotes the cyclic contractions in the AS (David et al., 2010; 2013).

In [20, 21], Xu and Yang investigated the global exponential stability of impulsive delay neural networks by establishing a delay differential inequality with impulsive initial conditions.

Protandry had been observed in this species by Abbad and Benchaabane (2004), who established a delay of nearly a month between the appearance of male and female flowers.

Pei et al. [24] established a delay three-species ecosystem with Holling functional response, the dynamical behaviors of the system were studied.

By establishing a delay difference inequality with impulsive initial conditions and using the decomposition approach, we obtain the attracting and invariant sets of the equations.

In [14], Zhu et al. established a delay differential inequality with impulsive initial conditions and derived some sufficient conditions ensuring the exponential stability of solutions for the singular perturbed impulsive delay differential equations (SPIDDEs).

Additionally, the specifications establish a Packet Delay Budget (PDB) to limit the maximum packet transfer delay.

That is why the traditional direction in the study of nonoscillation and stability of delay equations is to establish a smallness of delay, allowing delay differential equations to preserve these convenient properties of ordinary differential equations with the same coefficients.

Incorporating two delays ((tau_{1}) represents the maturity of predator, (tau_{2}) represents the maturity of top predator), we establish a novel delayed three-species food-chain model with stage structure in this paper.