Sentence examples for solution is established by from inspiring English sources

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.

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.

The existence of solutions is derived from the Schauder fixed point theorem, whereas the uniqueness of 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 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.

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.

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

The uniqueness of solution was established by using the Banach contraction mapping principle.

The existence of nontrivial solution was established by using the nonlinear alternative of Leray-Schauder.

Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem.