Sentence examples for regards boundary from inspiring English sources

For an extensive collection of results as regards boundary value problems on unbounded domains, we refer the reader to a monograph by Agarwal and O'Regan [1].

As regards boundary value problems, a global continuous solvability in (u^{ k)}) is needed, which is rarely available (we refer to [4, 5] and to the references therein for more details).

In this regard, boundary conditions must be defined, and this phase is one of the most essential phases in the modeling problems.

With some theoretical discussions conducted regarding boundary value problem (BVP for short) of differential equations so far, valuable results have been obtained for BVP of fractional differential equations (see [8 18]).

In [1 7] and the references therein, one can find more details as regards dynamic boundary conditions.

In the third section we provide a formulation of the basic problem of this paper and some historical information as regards nonlocal boundary value problems.

To the best of our knowledge, results as regards the boundary problem referring to the differential equations involving the Caputo fractional derivative on infinite interval are relatively scarce.

This paper regards trans-boundary PM as a similar case.

In this regard, two boundary cases can be considered.

So, B x, y) and T x, y) are regarded as boundary and texture templates, respectively.

The proposed model does not have any restrictions regarding the boundary conditions or the frequency limitations.