Sentence examples for variation solutions from inspiring English sources

We thus obtain, under very general assumptions, the existence of regulated or bounded variation solutions of the considered problem and we indicate some advantages of our approach.

In this paper we first establish an asymmetric version of the Poincaré inequality in the space of bounded variation functions, and then, basically relying on this result, we discuss the existence, the non-existence and the multiplicity of bounded variation solutions of a class of capillarity problems with asymmetric perturbations.

In this paper we prove the existence of locally bounded variation solution of a Volterra type set-valued integral equation of arbitrary (not necessarily integer) order.

Accordingly, variations between problems correspond to variations between variable values and variations between solutions to variations between function values.

Since the charge on peptides is dictated by the pH of solution, selective variation of solution pH can predictably induce a charge on the peptides of interest, which can be then exclusively extracted using dendrons of opposite charge.

The mean solution describes the average ability of the algorithm to find the global solution, and the standard deviation describes the variation in solution from the mean solution.

In this article, we deal with the existence, uniqueness, and a variation of solutions of the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator.

The method was not used as a stand-alone technique, because it was reported by Cooper (2009) to produce a large variation of solutions.

Characteristic feature, the representation can vary from point to point across the thickness, in order to adapt to the variation of solutions.

12, 13 Sodium stibogluconate appears as a complex mixture of polymeric forms, with batch-to-batch variation and solutions containing 32 34% pentavalent antimony (SbV).

Several spinning techniques are used in the production of man-made fibre, including solution spinning (wet or dry), melt spinning, gel spinning (a variant on solution spinning), and emulsion spinning (another variation of solution spinning).