Sentence examples for using the lower and from inspiring English sources

with some quite general nonlinear boundary conditions by using the lower and upper solution method.

By using the lower and upper solution method and fixed point theorem, they obtained some new existence results.

When,, and,, by using the lower and upper solution method, Santos in [5] finds a real number, such that the problem (1.1) has at least one solution if.

Using the lower and upper solution method and the Leggett-Williams fixed point theorem, we give some new existence criteria for the boundary value problem (1.1) and (1.2).

In this section, we study the distribution of zeros of solutions of (1.5) using the lower and upper bounds for (x ( tau ( t ) ) /x ( t ) ) in Section 3.

In order to test the effect of this uncertainty, we ran scenario-analyses using the lower and upper bound of the 95%% confidence interval of this parameter (50.2 % 80.5%% 80.5%

I used the lower and upper lethal temperatures to establish the lower and upper bounds of the fundamental niche on each temperature gradient.

In sensitivity analyses we used the lower and upper limits of the 95% confidence interval for circumcision prevalence among all males and specific to race and ethnicity.

We used the lower and upper end of these ranges for nutrients expected to be limiting to establish downstream sampling sites (SW1 and SW2) in treatment streams.

For sensitivity analyses, we used the lower and upper limits of 95 % CI of HR from the intent-to-treat analyses comparing EMMS and UFe60F arms in MINIMat, and converted the resulted number of infant deaths to IM rates.

Most fruits and nuts not meeting this standard of quality are processed or sent through channels using the lower grades and off sizes.