Sentence examples for be a lower solution from inspiring English sources

Finally, let α be a lower solution for (3.1).

Finally, let (alpha ) be a lower solution for (53).

Finally, let α ( t ) be a lower solution for (13).

Finally, let α ( t ) be a lower solution for (13); we claim that α ≤ F.

A function is said to be a lower solution for (3.2) if and (3.3).

Finally, letting be a lower solution for (3.1), we claim that.

Obviously, is a lower solution of (1.1).

A function is a lower solution of (1.1) if (2.5).

In fact, (alpha=frac{1}{2}) is a lower solution of (3.6).

Obviously, (check{u}=0) is a lower solution of (2.4).

Thus Φ ( x ) is a lower solution of (2).