Sentence examples for variation solutions of from inspiring English sources

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.

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

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.

In this paper, we no longer require the compact property in (1), the uniform boundedness in (2), and the inequality constraint on the range condition of the controller, but instead we need the regularity and a variation of solutions of the given equations.

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 non-linear temperature distribution is given in different forms: (i) power law through-the-thickness variation; (ii) solution of the one-dimensional Fourier heat conduction equation; (iii) sinusoidal.

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

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

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).

Also, in this case, the variation of solution pH reflected the degree of mineralization in this study.