It is considered as the game-changing technology that can push the boundary of systems health management [2].
3, we investigate the stability of the boundary equilibria of system (1.2).
We define, a vector Liapunov boundary function of system (1.3), if.
Calculation reveals that the boundary equilibrium of system (1) is ((1.3333,0,0)).
By Theorem 2.3, we only need to prove the vector function is a vector Liapunov boundary function of system (3.1).
Since ((widetilde{S},0,widetilde{P})) is the boundary equilibrium of system (1.1), we have r biggl 1-frac{widetilde{S}}{K} biggl 1-frac{widetilde{S}}{uad delta=theta alphawidetilde{S}.
Previously, we have shown that three boundary equilibria of system (1.1) are all unstable, and the positive equilibrium is locally asymptotically stable.
end{aligned} Since ((widetilde{S},0,widetilde{P})) is the boundary equilibrium of system (1.1), we get r-frac{2r}{K}widetilde{S}=alphawidetilde{P}-frac{r}{K} widetilde {S}leqalphawidetilde{P}.
Consequently, the entire system (if we draw the boundary of the system around the reactants and products which is, of course, a spatial and temporal boundary), has a non-zero rest-mass prior to the collision.
The two unmanned probes Voyager 1 and Voyager 2, launched in 1977 as part of the mission to study Jupiter and Saturn, have actually exited the Solar System, although precisely where the boundary of our system lies is unclear.
