Sentence examples for provide existence from inspiring English sources

In this part, we provide existence results for the abstract measure system (1).

We formulate the definition of entropy weak solutions and provide existence and uniqueness to the considered problem.

By variational methods, we provide existence results of multiple solutions for quasilinear elliptic equations under the Neumann boundary condition.

and the papers [6, 8] provide existence theorems for problem (1.1), (1.2) if has a sublinear or linear behaviour near.

The novelty of this paper is to provide existence and comparison results whereby only a local growth condition on Clarke's generalized gradient is required.

Using the generalization of Fan-Browder fixed point theorem, we provide existence theorems for an extension of generalized strong vector quasi-equilibrium problems with and without monotonicity.

Since the first half of the 20th century, many papers have appeared providing existence and uniqueness conditions for limit cycles of Liénard equations.

In this section we present our main results that concern conditions providing existence of ν-similar family of processes to the given birth-death process.

A second step (first developed in [48] and then generalized in [5, 6]) consists in providing existence and uniqueness conditions for the gradient flow of the entropy, w.r.t. the Wasserstein distance (W_2).

On the other hand, Theorem 3.5 provides existence criteria different from those of Theorem 10 in [1] due to the different results on the measure of noncompactness in the space of regulated functions (G(J X)).

In Section 1, we provide the existence and nonexistence of solutions of system (1).