The phrase "are established in section" is correct and usable in written English.
It can be used when referring to rules, guidelines, or definitions that are specified in a particular section of a document or text.
Example: "The procedures for filing a complaint are established in section 4 of the policy manual."
Alternatives: "are outlined in section" or "are defined in section".
In order to prove the existence criteria of critical points of the functional, some lemmas are given in Section 2. Two criteria for the existence of at least one solution and two solutions for BVP (1.1 - 1.2 1.1 - 1.2blished in Section 3 which is the generarezation for BVP of thestablishedr dinference equationSection
The protected activities are established in Section 211 of the Energy Reorganization Act of 1974, as amended, and in general are related to the administration or enforcement of a requirement imposed under the Atomic Energy Act or the Energy Reorganization Act.
The Fujita type theorems are established in Section 3.
As applications, several inequalities related to generalized Gini-Heronian means are established in Section 4.
Finally, several criteria of the limit cases are established in Section 4.
Convergent results are established in Section 3 and numerical results are reported in Section 4.
Thereby two different mobile phase compositions are established in sections 1 and 2, and sections 3 and 4, respectively.
Stabilities and optimal error estimates are established in Sections 4 and 5, respectively.
Then, the theoretical results for three cases of time-switched systems are established in Sections 3 5, respectively.
Sufficient conditions for the extinction, stochastic permanence, and global attractivity are established in Sections 3 and 4, respectively.
Some preliminaries and properties of the Nehari manifold are established in Sections 2 and 3, and Theorems 1.1-1.3 1.1-1.3ved in Sections 4-6, respectively.
