Sentence examples for and uniqueness of such from inspiring English sources

Theorem 17 guarantees the existence and uniqueness of such a solution.

Roughly speaking, best proximity theory investigates the existence and uniqueness of such a closest point x.

The existence and uniqueness of such a solution depend essentially on α.

However, the issue of regularity and uniqueness of such a given weak solution remains a challenging open problem.

Here, the main mathematical property ensuring existence and uniqueness of such a measure would be uniform hyperbolicity.

Several fundamental issues, such as global asymptotic stability and existence and uniqueness of such BAM neural networks with impulse and distributed delays, are established.

We prove the existence and uniqueness of solutions of such equations as well as some regularity results.

Theorems which list the conditions for the existence and uniqueness of solution of such problems are thoroughly discussed in the important book of Agarwal [20].

Numerous works on best proximity point theory were studied by giving sufficient conditions assuring the existence and the uniqueness of such points.

Very recently, Nan and Charoensawan [13] introduced the notion of g-coincidence point of two mappings (F,H Xtimes Xrightarrow X), and proved existence and uniqueness theorems of such kind of points.

The existence and uniqueness of solutions for such equations were proved.