Sentence examples for maximal solutions from inspiring English sources

where and are the minimal and maximal solutions of systems (3.4) and (3.5), respectively, (3.4).

Moreover,, are minimal and maximal solutions of NBVP (2.2) in, respectively.

Here ρ, r are the coupled minimal and maximal solutions of type I for (1.1).

The process continues till we reach coupled minimal and maximal solutions.

So, PBVP (4.1) has minimal and maximal solutions in the segment [ α 0, β 0 ].

where and are the minimal and maximal solutions of (2.5), (2.6), respectively.

This is the maximal solution.

This solution is called the maximal solution.

Hence, BVPHDEF (1) has a maximal solution on J.

Finally, we prove that is a weakly maximal solution of.

Clearly, the comparison principle is valid for the maximal solution.