Sentence examples for maximum principle completes from inspiring English sources

Finally, the maximum principle completes the proof of our theorem.

Then the proof of the maximum principle is completed.

By the maximum principle [26], we complete the proof.

By the maximum principle [31], we complete the proof of Theorem 1.2.

The fuel-optimal problem is formulated using the calculus of variations and Pontryagin's Maximum Principle in a complete four-body dynamical environment.

Thus our maximum principle also solves completely this control problem.

Using these auxiliary functions, the parabolic maximum principle, and the differential inequality technique, we complete the study of (1.1).

Applying the strong maximum principle, we obtain that u > 0 and v > 0. This completes the proof.

Strong maximum principle.

(Pontryagin maximum principle).

Discrete maximum principle.