Sentence examples for upper solutions from inspiring English sources

Lower and upper solutions are given by and,.

Obviously,, are lower and upper solutions of (4.1), respectively, and.

Now we introduce the notion of lower and upper solutions.

Similar terminology will be used for lower and upper solutions.

Let and be, respectively, lower and upper solutions of (5.1).

We define lower and upper solutions for problem (3.1).

Let be strict upper solutions of (1.1) and for each.

Lower and upper solutions are given by, respectively, and for.

The next result is about upper solutions to equation (6).

No order between lower and upper solutions is assumed.

Thus, are lower and upper solutions of (3.14), respectively.