Sentence examples for define the solutions from inspiring English sources

To define the solutions of the problem (1.1), we need the following lemma.

Before presenting the main results, we define the solutions of the boundary value problem (1.1).

The following lemma plays a pivotal role to define the solutions for the given problem.

We also establish an auxiliary lemma to define the solutions for the given problem.

We need to establish the following result to define the solutions for the given problem.

By introducing dwell time for the topology-varying system, we define the solutions for the closed-loop system equations.

A standard approach in deriving the mild solution of (1.1) is define the solution operator Q.

In order to define the solution for the problem (1.1 - 1.2 1.1 - 1.2 the followeneedemma.

In order to define the solution for the problem (1.1), we need the following lemmas.

In order to define the solution of problem (1.6), we shall consider the following space.

This lemma is used to define the solution of the boundary value problem (1.5)–(1.5).