Likewise, the constraints (22) ensure the demand of each bus is bounded in the individual upper limit.
If for some (uin H), ({I varphi t,u)); 0 leq t < T u)}) is bounded from below, then: (i) (T u)=infty), (ii) there exists (t_{n}rightarrowinfty) such that ({varphi(t_{n},u), ninmathbb{N} }) is bounded in H and the ω-limit set of u, omega u) = bigcap_{0leq t
If the system is bounded in space and in momentum, there will be limits as to how far nearby trajectories can diverge from one another.
Players' possibilities are bounded only by the limits of their imaginations – or by the limits of their knowledge.
By the assumption, it follows from Lemma 1.6 that the limit exists and so the sequence is bounded in.
The idea that it can be bounded in by honest conservatives in a Cabinet or restrained by normal constitutional limits is, to put it mildly, unsupported by history.
By Lemma 2.3 and Lemma 2.4, we see that the Palais-Smale sequence ({u_{n}}) at the mountain pass level c is bounded in E and its weak limit u is a critical point of the functional I.
end{aligned} Then the sequence ({u_{n}}) defined by (1.5) is bounded in V, and all of its weak limit points are solutions of problem (1.1).
Although exceptions due to species and drug compound exist, NSAIDs in general tend to be highly protein-bound in the plasma which limits distribution into the tissue, leading to low volume of the central compartment and low volume of distribution [ 12] as was seen in the current study.
