Sentence examples for method of upper from inspiring English sources

We employ a the method of upper and lower solutions.

This technique combines the idea of method of upper and lower solutions with appropriate monotone conditions.

The proofs of our results rely on the method of upper and lower functions.

Our main tools are the method of upper and lower solutions and a fixed point theorem.

Using the method of upper and lower solutions for integral equations makes solving the characteristic equation redundant.

For monotone iterative technique, which is based on the method of upper and lower solutions, see recent papers [24 28].

The method of upper and lower solutions coupled with the monotone iterative technique is an interesting and powerful mechanism.

As the main tools, we use Karamata regular variation theory and the method of upper and lower solutions.

The tools we mainly used are the method of upper and lower solutions and Leray-Schauder degree theory.

The methods used are mainly the method of upper and lower solutions and a fixed point theorem.

Our results are based on the method of upper and lower solutions and the Schauder fixed point theorem.