Sentence examples for solution is establish by from inspiring English sources

Recently Temitope and Samuel [23] in 2015 worked out on the variable physical properties in the steady second grade fluid, solution is establish by numerical Runge-Kutta shooting technique.

Two-fold self-association in solution is established by 1H NMR, and the intended mode of assembly is further corroborated via X-ray crystallographic analysis.

A new result on the existence of a solution is established by using fixed point theorems.

The existence and uniqueness of iterative solution is established by applying the cone theory and the Banach contraction mapping principle.

The existence of solutions is derived from the Schauder fixed point theorem, whereas the uniqueness of solution is established by the Banach contraction principle.

The existence of solutions for the system (1.4) is derived from Leray-Schauder's alternative, whereas the uniqueness of the solution is established by the Banach contraction principle.

When the viscosity μ, ν, and λ are constants, the global strong solution is established by Chen in [6] where the vacuum is also allowed.

The existence and uniqueness of solutions is obtained by using the Banach fixed point theorem, and the existence of at least one solution is established by using the Leray-Schauder nonlinear alternative and Krasnoselskii's fixed point theorem.

An existence and uniqueness result is proved by using the Banach fixed point theorem, and the existence of a positive solution is established by using the Krasnoselskii fixed point theorem.

The dimeric state of the prototypical Synechocystis FRP and two of its homologs from Anabaena and Arthrospira was shown by size-exclusion chromatography (SEC 24,25 and the common dimeric conformation in solution was established by SAXS25, permitting manipulations of the oligomeric state (Fig. 1a).

The decay estimates of the solution are established by using Nakao's inequality.