Sentence examples for presented existence from inspiring English sources

Berti and Bolle [18] presented existence results of (C^{infty}) quasi-periodic solutions for Schrödinger equations with a multiplicative potential.

Now we present existence results for problem (3.13 - 3.14).

The paper presents existence results for nonlinear elliptic problems under a nonhomogeneous Dirichlet boundary condition.

In this article, we present existence conditions of solutions, which are the prerequisites for solving the numerical solutions.

In Section 3, we present existence results of equation (1.1) by using critical point theory and variational methods.

In this manuscript, we use R-functions to present existence and uniqueness coincidence (and common fixed) point results under a contractivity condition that extend some celebrated contractive mappings.

Presently, no experimental evidence has been presented for existence of the additional structural recognition determinants of methylation in plants.

In the paper [6], Agarwal et al. presented new existence results for initial value problems.

end{cases} They presented the existence results with assumptions of nonlinear growth imposed on the nonlinear term f.

A number of investigations presented the existence of an optimum concentration for nanoparticles in the base fluid.

He also presented the existence of at least one positive solution to (3) by using the Krasnosel'skiĭ theorem.