Sentence examples for solutions condition from inspiring English sources

Using Leray-Schauder degree, the authors of [8] showed some existence results for (1.3) under the non-well-ordered upper and lower solutions condition.

In particular, a kind of coordinate-wise lower and upper solutions condition was imposed in [4], while Gilbert [5] introduced the notion of solution-tube to systems of first order dynamic equations which generalizes the notions of lower and upper solutions.

The existence of periodic solutions conditions is presented in Section 3.

Based on the first partial derivatives the partial marginal solutions, conditions and characteristics of an internal solution can be obtained.

Moreover, the specific choice of utility functions should not affect the solution (condition 1) as long as they reflect each person's preferences.

Pectin ZnO nanocomposite was prepared in the aqueous solution condition at room temperature.

Three soliton solution condition (45) implies the parameter α 3 = − 7.9141.

Our recent studies showed that all four oligomeric species of γ, including monomer, dimer, trimer and tetramer, exist in high salt solution condition [29].

Glass pipettes were stored in 95% ethanol and flamed and rinsed in distilled water before use and between each bacterial solution condition.

The purpose was to further confirm that the G4 structure forms under our solution condition.

In those studies and this study, we measure no significant change in the fluorescence intensity of the fluorescein probe upon protein binding under a given solution condition.