Sentence examples for upper and lower solutions from inspiring English sources

Then the functions, are upper and lower solutions, respectively.

Let us define coupled upper and lower solutions.

We now give the definitions of upper and lower solutions.

The existence of upper and lower solutions is assumed.

Upper and lower solutions satisfy the inequality (2.29).

We employ a the method of upper and lower solutions.

Next, we determine upper and lower solutions of BVP (1.1).

The constants in definition of upper and lower solutions satisfy.

We need the following definition of upper and lower solutions.

First we give the definition of ordered upper and lower solutions of (1.1), then a pair of ordered upper and lower solutions is constructed.

Monotonically convergent upper and lower solutions of the problems and their quasilinear approximations are investigated.