Sentence examples for are devoted to the proof from inspiring English sources

Then in Section 3, we are devoted to the proof of decay estimate.

Sections 5 and 6 are devoted to the proof of (1.2) ((M=5)) and (1.3) in the main Theorem 1.1.

□. Next, we are devoted to the proof of Theorem 1.2, which characterized the bifurcation components of (1.1).

In Section 2 we present the main assumptions and results, Section 3 and Section 4 are devoted to the proof of the main results.

Sections 3 and 4 are devoted to the proofs of the main results.

Sections 3 and 4 are devoted to the proofs of preliminary results.

The third and fourth sections are devoted to the proofs of Theorem 1.1 and Theorem 1.2, respectively.

The remaining sections are devoted to the proofs of the results introduced in the preceding ones, and their titles are self-explaining.

A large part of the article is devoted to the proof of theorems that give sufficient conditions for ψ to generate a Riesz sequence and a Riesz basis for L2(R2).

This section is devoted to the proof of Theorem 2.6.

Section 6 is devoted to the proof of Theorem 2.1.