Sentence examples for continuation of the solution from inspiring English sources

Step 2. Continuation of the solution v.

Continuation of the solution branches bifurcated from and results in unstable three-cluster states with a split, i.e., states for which two neurons oscillate in synchrony and the remaining two "clusters" contain one neuron each.

With the initial point t0 replace by ρ > t0, for an appropriate value ρ, the same proof can be reapplied as often as necessary to give uniqueness of any continuation of the solution whose values lie in (a, b).

Here, we study the case that the domain is a flat torus and show that the post-blowup continuation of the solution is possible only when those collapses are quantized with the mass 8π.

However, the problem about continuation of the solutions beyond wave breaking, although interesting and important, has not been explicitly addressed yet.

In this paper, we are concerned with the unique continuation for the solution of Eq. (1.1).

We also prove some unique continuation properties of the solution flow in these spaces.

The present method is based on Floquet theory and continuation of the periodic solution.

The study of unique continuation for the solutions for PDEs began at the early of the last centaury.

The problem is solved by using a technique of the sequential continuation of solution in the cyclic mode for each of the equation alternately.

The primary technique for doing this is numerical continuation, where the solution of interest satisfies a parametrised set of algebraic equations, and branches of solutions are followed as the parameter is varied.