Sentence examples similar to a super solution from inspiring English sources

Similarly, (u_{infty}(x)) is a super-solution to (3.6).

So z is a super-solution of problem (4.1).

Therefore, u ¯ is a super-solution of problem (1.1).

Then, ((overline{u}(t),overline{v}(t))) is a super-solution of (1.6).

Then it can be verified that v ( x, t ) is a super-solution of (1.1).

Since u ̲ is a super-solution of (4.7), ϕ cannot exist globally.

The solution to problem (1.1) is a super-solution of (4.7).

Furthermore, 1 l ≤ u l ≤ u k for k < l, and a super-solution (sub-solution) comparison theory holds for (2.2) (see [19]).

The reason is that it is difficult for Problem 3 to find a super-solution initial point (x^{0}) and the algorithm may not converge.

As for TLASM, we need to find a super-solution initial of the problem, which may usually bring about some numerical difficulties.

It can be verified that, for the case m = q < r < 1, a sufficiently large constant L is a super-solution of (1.1).