Sentence examples for a lower solution from inspiring English sources

Step 3. A lower solution of.

Obviously, is a lower solution of (1.1).

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

Obviously, is a lower solution of (1.1)–(1.3) in.

We now construct a lower solution of (3.13).

By Proposition 2.3, problem (2.11) has a lower solution.

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

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

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

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

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