Sentence examples for established a version of from inspiring English sources

Halburd and Korhonen [4, 5] established a version of Nevanlinna theory based on difference operators.

Halburd and Korhonen [16, 17], Chiang and Feng [18] established a version of Nevanlinna theory based on difference operators independently.

Beiranvand, Moradi, Omid, and Pazandeh [7] introduced the notion of a T-contraction and established a version of the Banach contraction principle.

In this setting, Hytönen [24] introduced the space (operatorname {RBMO}(mu)), and Hytönen and Martikainen [27] established a version of the Tb theorem.

Recently, Móricz et al. [4] introduced the concept of blockwise M-dependence for a double array of random variables and established a version of the Kolmogorov SLLN for double arrays of random variables which are blockwise M-dependent.

We shall first establish a version of stochastic bounded real lemma (SBRL) which by itself has theoretical importance.

We consider Fourier multipliers for Lp associated with the Dunkl operator on R and establish a version of Hörmander's multiplier theorem.

This makes sense: despite the long history of failures to establish a version of Hollywood in the UK, a "British film" remains a recognisable entity in a way that a "British novel" or "British news bulletin" does not.

For a nonautonomous dynamics with discrete time given by a sequence of linear operators Am, we establish a version of the Grobman–Hartman theorem in Banach spaces for a very general nonuniformly hyperbolic dynamics.

This image helped establish a version of democracy that became the foundation of a political system subject to crass populism, and disdainful of anything effete or intellectualized or European one that frequently compels political candidates to doff the sport coat, grab a weapon, and shoot something, anything, for the cameras.

Next, we establish a version of Theorem 4.2 which enable us to consider locally Lipschitz perturbations for equation (1.2).