Sentence examples for integral conditions from inspiring English sources

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

In [12], the authors obtained the integral conditions for a nonuniform polynomial dichotomy.

The integral conditions have physical significations such as total mass, moment, etc.

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

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

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].

First, a set of surface integral conditions (2) can be deduced from Eq. (1) (Backus, 1968).

Moreover, boundary value problems with integral conditions constitute a very interesting and important class of problems.

Anguraj et al. [27] obtained new existence results for fractional integro-differential equations with impulsive and integral conditions.

Lin, Cui, and Zhou[11, 12] studied the numerical solution of a class of PDEs with integral conditions.