Sentence examples for classification of solutions from inspiring English sources

We start with the classification of solutions of system (1) with λ = -1.

The earlier studies have also provided a classification of solutions of homogeneous medium models based on these two concentration variables.

The classification of solutions includes guidelines for selection of appropriate solution to be employed in field experiments and numerical validation as well.

For Category (D) we deal with initial value problems, whose classification of solutions is made by the sign of b ( 1 ).

Equation (13) has an identical structure to that of Eq. (38) (for (I_{i} = I) for all i), so that the classification of solutions using group theoretic methods is the same in both situations.

These developments provide a geometrical setting for algebraic methods (using Lie sphere geometry) and a classification of solutions according to 33 essentially different configurations of the given circles.

A complete classification of solution loci in terms of the above characteristics multiplicity, stability, and bifurcation direction at Hopf bifurcation points—is presented for the parameter region investigated.

On the other hand, we also establish the sharp region of the flux for non-topological solutions and provide the classification of radial solutions of all types in the case of one vortex point.

In Section 3, we establish our main results for positive solutions by applying Kiguradze's classification of positive solutions theorem.

This research is to overcome the limitations of classifications of solution synthesis in DESs and offers the guideline for designing and selecting correct strategies in different cases.

Some classification of nonoscillatory solutions is presented, as well as an estimation of the solutions.