Sentence examples for globally exist from inspiring English sources

However, a large proportion of tree plantations, globally, exist in closed-canopy mid-seral stages, which are frequently associated with reduced biodiversity.

This is similar to a type A setting, with reversed signs: in particular, there exists a value (A^ > 0) such that for every (A geq A^) the solutions to (30) are increasing heteroclinics between (pi/2) and (5pi/2), otherwise they are rotations which globally exist forward in time.

Therefore, N 1 + N 2 is ultimately bounded and all the solutions of system (1) globally exists on the interval [ 0, ∞ ). The aforementioned discussions can be summarized into the following results.

Shen and Lam proved that for fractional-order nonlinear system described by Caputo's or Riemann-Liouville's definition, any equilibrium cannot be finite-time stable as long as the continuous solution corresponding to the initial value problem globally exists [5].

If (A1 - A4) hold, then for any (varphiinmathbb{C}^), a unique solution (u t,varphi)) for (1.2) globally exists on ([-tau,infty)), (limsup_{trightarrow +infty}u t,x,varphi leq M) uniformly for all (xinoverline{Omega}), and the solution semiflow (Psi(t)=u_{t}(cdot): mathbb{C}^rightarrowmathbb{C}^), (tgeq0), admits a connected global attractor.

We found that there globally existed a strong correlation between signals extracted from the same region and condition but with different methods.

Globally, there exists a marked North South divide, favouring the North, in terms of the awareness, output and implementation of health research [ 4].

It is known that the solutions of (1.4) exist globally if and only if for ; they exist globally if and only if when (see [7 10]).