Sentence examples for exist global from inspiring English sources

There exist global smooth solutions for the 2D Euler equation with symmetry [19].

In Section 3, we prove that there exist global exponential attractive sets for the chaotic PMSM system.

From Figure 5 one can see that there maybe exist global Hopf branches even though we have no proof of this theoretically.

Then a new pruning technique is given to accelerate the convergence of the given algorithm, and this pruning technique offers the possibility to cut away a large part of the current investigated region in which there no exist global optimum solution.

For any t ∈ R, there exist global pullback attractors A S V 2 q = { A S V 2 q ( t ) } and A D S V 2 q σ = { A D S V 2 q σ ( t ) } for the process ( S V 2 q, U ) in the universes of fixed bounded sets and in D S V 2 q σ.

For any t ∈ R, then there exist global pullback attractors A C V = { A C V ( t ) } and A D C V σ = { A D C V σ ( t ) } for the process ( C V, U ) in the universe of fixed bounded sets and in D C V σ, respectively.

Its original proponents could not have imagined the scale of debt that now exists (global debt stands at 286% of GDP today).

It can be seen that, asymptotically, there exists global synchronization error between some pairs of nodes, and for this random network.

(i) If (r>m-1=frac{pm-q}{p-1}), there exist both global and non-global solutions.

If (r>m-1=frac{pm-q}{p-1}), there exist both global and non-global solutions.

All solutions are global if, while there exist both global solutions and finite time blowup solutions depending on the size of initial data when (See [4]).