Sentence examples for integral condition from inspiring English sources

and the weighted integral condition (4.15).

This integral condition in parabolic problems is also called heat moments are analyzed in [4].

In this work, we study a telegraph integro-differential equation with a weighted integral condition.

We note that if p = 1, then condition (1.2) reduces to the usual three-point integral condition.

That is to say, the condition of Theorem 1 may be replaced by a weaker integral condition.

This reduced integral condition can also be termed as a 'conserved' condition in the sense of Hadamard.

However, most researchers tend to investigate either integral conditions or multi-point conditions.

The solutions of hyperbolic equations with nonlocal integral conditions were investigated in [9] [16].

Consider the fourth-order singular -Laplacian differential equations with integral conditions: (4.1).

Several papers have been devoted to the study of parabolic problems with integral conditions [19, 20].

In [9], a physical-mechanical interpretation of the integral conditions was also given.