Sentence examples for problem of the corresponding from inspiring English sources

The standard parabolic problem of the corresponding heat equation in a heterogeneous material is considered.

They also extended the results to the initial boundary value problem of the corresponding parabolic equation.

In this paper the eigenvalue problem of the corresponding linear stability analysis has been solved with this method.

Thus, the synchronization problem of the dynamical network (3.1) can be transformed into the global asymptotical stability problem of the corresponding error dynamical system.

Usually the authors change the problem into the critical point problem of the corresponding energy functional and then apply the critical point theory or the variational method, or they change it into the fixed point problem of the corresponding compactly continuous mapping and then apply topological degree theory or the method of lower and upper solutions.

However, for a homogeneous medium, the exact solution of (6a) and (6b) can be obtained trivially by solving the eigenvalue problem of the corresponding matrix, which is then constant.

We finally mention what we think remains an open problem for the corresponding equations of Schrödinger type in quantum mechanics.

In the following, we will therefore study several aspects of the alternative problem of finding the corresponding MAP solution: (2) arg ⁡ max ⁡ r, t P [ D | r, t, T ] p [ r ] p [ t | T ], namely, the most likely complete set of rates and times given the data and the model.

This allows us to get a solution of the radial boundary problem for the corresponding analytic extensions.

It should be noted that the ability to derive the fact of solvability of the original problem from the corresponding properties of approximate problems is rather uncommon (see [12] for some details).

In [ 10], Buneman established the following fundamental connection between the perfect phylogeny problem and triangulations of the corresponding partition intersection graph.