Sentence examples for a theorem on the existence of from inspiring English sources

In this section, we give a theorem on the existence of solutions for BVP (1.1).

We will give a theorem on the existence of solutions for BVP (1.1 - 1.2 1.1 - 1.2

In this section, a theorem on the existence of positive solutions for FBVP (1.1) will be given.

In this section, a theorem on the existence of solutions for ABVP (1.2) will be given under the nonlinear growth restrictions of f and g.

As an application of their results, the authors also obtained a theorem on the existence of a unique solution for periodic boundary problems relative to ordinary differential equations.

The authors also applied their results to obtain a theorem on the existence of a unique solution for periodic boundary problems relative to ordinary differential equations.

Secondly, we give a theorem on the existence and uniqueness of the solution of the problem (13), respectively.

1960-61 - Works at the Center for Advanced Study in the Behavioral Sciences at Stanford, focused on a complex proof of a general theorem on the existence of an economic equilibrium.

The central point of this theory is a constructive theorem on the existence of the general decomposition structures and conditions under which the corresponding structures exist.

In Section 3, based on the Schaefer fixed point theorem, we establish one theorem on the existence of solutions for ABVP (1.2) (Theorem 3.1).

To prove this theorem on the existence of an optimal control, we use a result from Fleming and Rishel [ 38] (Theorem 4.1 pp. 68-69), where the following properties must be satisfied.