Sentence examples for critical points on from inspiring English sources

The stresses and their variations were evaluated at critical points on the storage tank.

There exist some critical points on both kinds of curves at different scale parameters.

The stresses and their variations were evaluated at critical points on the liner.

The generated vibrations at critical points on the surface are measured with other piezoelectric elements, a laser vibrometer or other sensors.

The functional behavior of these unknowns is estimated by a local eigenfunction analysis performed at certain critical points on the boundary.

Furthermore, the contributions of critical points on polygonal domains, including the stationary phase point, resonance and vertex points, are comprehensively studied in terms of the NSDP method.

By the periodicity of and in the first variable, we have reduced the existence of periodic solutions of (1.1) to that of critical points of on.

In order to obtain the existence of critical points of on, for the convenience of readers, we cite some basic notations and some known results from critical point theory.

Thus there exists at least one critical point of on, and the proof is complete.

Set then Thus satisfies the assumption of saddle point theorem, that is, there exists at least one critical point of on This completes the proof of Theorem 3.5.

Therefore, we can seek critical points of φ on SE directly.