Sentence examples for problems of the partial from inspiring English sources

In the past decades, studies on the problems of the partial differential equation mainly focused on direct problems and inverse problems of integer order differential equation, and some numerical techniques have been proposed to solve integer order differential equation [1 8].

The method of multiple scales is developed to analyze the effects of internal resonances on the steady-state responses to external excitations in the nonlinear boundary problem of the partial differential equations.

4.2, where the problem of the partial information on the subset of the pair of sequences (Gamma _{2}:={lambda_{n},kappa_{n};ninmathbb{N}_{0}}) is concerned.

For model (1), the initial boundary value problem of the partial differential equation for the model is derived and discreted numerically.

In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity.

In this paper, we examine the following biharmonic problem of the partial differential inclusion: left { textstylebegin{array}{l} Delta^{2}{u}in H x,u,nabla u,Delta u) quad mbox{a.e. in } Omega, u=0 quad mbox{on } partialOmega, frac{partial u}{partialmathbf{n}}=0 quad mbox{on } partialOmega.

For every (ngeq1), consider the following biharmonic problem of the partial differential inclusion: left { textstylebegin{array}{l} Delta^{2}{u}in H_{n} x,u,nabla u) quad mbox{a.e. in } Omega, u=0 quad mbox{on } partialOmega, frac{partial u}{partialmathbf{n}}=0 quad mbox{on } partialOmega.

Thus, it is an important and interesting topic to further study controllability problems of the neutral stochastic partial differential systems, and the problems will be focused on in our future studies.

As well explained in [6] and [7], the Gelfand-Shilov spaces are better adapted to the study of the problems of partial differential equations for which the solutions sub-exponentially decay at infinity.

TBSS yields a skeleton of white matter voxels that can be analyzed in a voxel-wise manner (conceptually similar to voxel-based morphometry; VBM), or by using an ROI approach, which mitigates the problems of partial voluming and the multiple-comparison corrections required when statistically comparing the large numbers of voxels involved in a voxel-based analysis.

The construction of the BAGISTAS 1 Hydroelectric Power Plant Dam, one of the dams constructed in order to solve these problems, resulted in the partial submersion of a number of pre-existing railway bridges and retaining walls of the Divrigi-Ilic-Erzincan Railway System (NE Turkey).