Sentence examples for uniqueness is based on from inspiring English sources

The proof of uniqueness is based on the following criteria due to Fernandez and Maillard [50].

The existence of a positive solution is proved by using a monotone iterative method; the proof of the uniqueness is based on an extension of the method used in [1].

This uniqueness is based on the scale of observations, precision of measurements, the ability to modify experiments as logic and technology dictate, and the ability to use instruments free of the constraints on mass, power, reliability, and data rate of flight instruments.

The assertions about existence and uniqueness are based on the known Fredholm alternative for functional differential equations.

Now, we prove the existence and uniqueness of solutions in the Banach space E. The uniqueness result is based on Banach's contraction principle [29].

The uniqueness result is based on the Banach contraction principle.

The first existence and uniqueness result is based on the Banach contraction mapping principle.

The uniqueness proof is based on a supersolution argument (similar definition can be found in [15, Chapter  3]).

The first existence and uniqueness result is based on Banach's contraction mapping principle (Banach's fixed point theorem).

The proof of the uniqueness of solution is based on the work of [10].

To do so, Gigli introduced in [48] an interesting strategy to prove uniqueness for EDE flows, which is based on the following proposition.