Sentence examples for using the continuation property from inspiring English sources

Then the uniqueness of the solution on [ 0, T ] is direct using the continuation property.

This four-category response was modelled using the continuation ratio approach to ordinal data.

Indeed, Lemma 3.3 (to be precise: (3.44)) in [2] plays an important role in the proof of energy decay, where the authors used the unique continuation property of wave equations; see [16] for details and [2], [17], [18] for an application.

However, one can use the analytic continuation property (81) and write the difference (u^{mathfrak{d}_{p+1}}-u^{mathfrak {d}_{p}}) as follows.

But in our case, since M ( ∥ ∇ ⋅ ∥ 2 2 ) △ ⋅ is nonlinear, we cannot use the unique continuation property directly.

A second approach is to use the continuation method.

These successive continuations are implemented using the PC continuation combined with the multiple shooting method.

The discretized nonlinear equations of motion are studied by using the arclength continuation and collocation method.

The forward kinematic problem is solved using the homotopy continuation and it is revealed that it has 1680 finite solutions.

We perform an extensive numerical study of periodic responses of the NTMD using the numerical continuation software AUTO.

We first present the Green function for second-order multipoint BVPs on the half-line and then give the existence results for (1.2) using the properties of this Green function and the Leray-Schauder continuation theorem.