The main advantage of resin shutoff agents is insolubility and infusibility after consolidation, acid-proof and alkali-proof, stable properties, and its high strength.
"Or are they saying, 'I want a job that's stable and recession proof?' " In interviews, however, about two dozen men played down the economic considerations, saying that the stigma associated with choosing such jobs had faded, and that the jobs were appealing not just because they offered stable employment, but because they were more satisfying.
Therefore, Floquet theory implies that the solution ((0,tilde{w}(t))) of (4a - 4d) is locally stable and the proof is complete.
By applying Theorem 3.8 we deduce that the system is uniformly exponentially stable and the proof is complete.
Therefore, Floquet theory implies that the solution ((0,tilde{z}(t))) is locally stable and the proof is complete.
Hence, we have that | w ( t ) | 1 ≤ M ∥ ϕ − z ∗ ∥ e ⊖ α ( t, t 0 ), t ∈ [ − ϑ, ∞ ) T, t ≥ t 0, which means that the equilibrium point z ∗ of (1.1) is globally exponentially stable. The proof of Theorem 4.1 is completed. □. In this section, we present an example to illustrate the feasibility of our results.
By Lemmas 2.1 and 2.2, the solution (x t), y(t)) of system (1.2) with the initial values x 0) > 0, y(0) > 0 is unanimous bounded for all t ≥ 0 and the point P2 x1, y1) is globally asymptotically stable, we should proof that the system (2.1) is not exist limit cycle if 1 - 3 a k ≤ m < 1 holds.
"The line that's repeated time and again is this is stable and recession-proof economic development – that prisons don't pack up and leave the way a factory might and [that they] bring about long-term sustainable economic development," said Schept.
A circular metal die-cutter had to be used to cut gel discs, as the gel is very stable and tear-proof.
Compared with the acrylamide-based ∼100 μm thick DGT gel described by Lehto et al., our ether-based urethane polymer gel is much more stable and tear-proof and requires no supporting membranes during gel handling.
Indeed, mortality due to confirmed cases of heartwater has been observed in sheep after 3 4 weeks of quarantine in tick/insect proof stables prior to use in heartwater vaccination experiments at ITC.
