Sentence examples for based on critical point from inspiring English sources

The approach is based on critical point theory.

The method of finding solutions is based on critical point theorems of finite dimensional Banach spaces.

The method for finding solutions is based on critical point theorems of finite dimensional Banach spaces.

The proofs of Theorem 1.1 and Theorem 1.2 are based on critical point theory.

The approach is based on critical point theory, minimax methods, homological linking and Morse theory.

In this paper, unlike the methods based on critical point theory for guaranteeing the existence of homoclinic solutions in the work of [14 17], our approach for obtaining the existence of homoclinic solutions for (1.1) is based on topological degree theory.

Two surgeons formulated 24 cases based on critical points of discussion, definitions and ambiguities regarding the registration of complications taken from their experience during complication registration from daily practice (see online supplementary appendix).

Based on critical reaction, he believed he was right.

Out approach is variational based on the critical point theory, combined with suitable truncation and comparison techniques.

In Section 4, based on some critical point theorems due to Mawhin and Willem [27] and Rabinowitz [28], we establish two theorems on the existence of weak solutions of FBVP (1.1).

Ge et al. [13], employing a variational method combined with suitable truncation techniques based on nonsmooth critical point theory for locally Lipschitz function, proved the existence of at least five solutions under suitable conditions.