Sentence examples for by using upper and from inspiring English sources

The feasibility problem allows us to check consistency of entire parameter regions by using upper and lower bounds on the parameters.

Carl and Heikkilä [15] proved the existence of local solutions of the semilinear problem by using upper and lower solutions and pseudomonotone operators.

We extend the concept of lower and upper solutions and obtain the existence of extreme solutions by using upper and lower solution method.

In this section, we will prove the existence of solution of -Laplacian BVP (1.1 - 1.2 1.1 - 1.2 upper and lower solution method.

The content of this paper is organized as the follows: In Section 2, the existence and uniqueness of global solution are given by using upper and lower solutions and their associated monotone iterations as in [18].

By using upper and lower solution method, fixed-point theorems, and the properties of Green's function and, the authors give sufficient conditions for the existence of one positive solution.

By using upper- and lower-solution methods, we obtain the necessary and sufficient conditions on the existence of global (weak) solutions to (1.1)–(1.1).

In addition, observed NOEs were used to define upper distance limits between Λ,Λ-B and DNA, by using upper limits of 5 Å for weak and 3.5 Å for strong NOEs.

Furthermore, thanks to the pick-l algorithm, we can design a new algorithm based on a branch-and-bound search to calculate α k by using upper bounds of α k obtained from the pick-l algorithm.

We first establish a weak comparison principle, then discuss the large time behavior of solutions by using modified upper and lower solution methods and constructing various upper and lower solutions.

The existence and uniqueness of positive solutions were obtained by using the upper and lower solutions method and Schauder's fixed point theorem, the iterative sequences for the unique solution were also given.