Sentence examples for problem were established from inspiring English sources

Stability estimates for the solution of the problem were established.

By using a fixed point index theorem, the existence results of positive solutions for this problem were established.

In particular, a universal existence theorem for Dirichlet problem and an existence theorem for periodic and Neumann problem were established when f satisfies some sign conditions [8].

In [3, 4], through the use of Guo-Krasnosel'skii's fixed point theorem, the existence and multiplicity of positive solutions for the following periodic boundary value problem were established.

To apply CS algorithm for the UFLP, a mapping between the facility in the host nests and the problem were established.

In [27, 28], some existence results for the second-order periodic problem were established by Graef, Kong, Wang and Torres, respectively.

It is graded V13 on an open-ended scale, which spanned V0 to V14 when the problem was established in 1996 by Frederic Nicole, a burly Swiss climber.

Stability estimates for the solution of this problem are established.

In section4, the power allocation problem is established and solved.

First, a multi-layer optimization problem is established.

The stability and coercive estimates in Hölder norms for the solution of this problem are established.