Sentence examples for multiple positives solutions from inspiring English sources

In Section 3, we establish the existence and uniqueness of single positives solutions to the three-point boundary value problem (1.1 - 1.2 1.1 - 1.2anach contraction mapping principle and the fixed point index theory, and we investigate the existence of multiple positives solutions for (1.1) and (1.2) by the Leggett-Williams fixed point theorem.

Section 3 discusses the existence of multiple positive solutions for BVP (1.1 - 1.2 1.1 - 1.2s positive.

The following theorem deals with multiple positive solutions of problem (1.6a - 1.6b).

They show the existence of multiple positive solutions for the aforementioned boundary value problems.

In this section, we discuss the existence of multiple positive solutions of BVP (1.1).

By the mountain pass theorem, multiple positive solutions theorems were established in [1] for discrete problems.

The existence of multiple positive solutions is obtained by the application of fixed point index theory.

The existence of multiple positive solutions is obtained in Section 4.

The conditions for the existence of multiple positive solutions are established.

By using fixed point theorems in cones, the existence criteria of multiple positive solutions are established.

We study the existence of multiple positive solutions for th-order multipoint boundary value problem.,,,, where,,.