Sentence examples for variation solution from inspiring English sources

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 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.

This variation in solution morphology is mapped out in terms of a non-dimensional mass ratio.

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

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.

The phase behavior in water of hydroxypropylcellulose (HPC and HPCC partially esterified with methacryloyl chloride (HPCM) has been studied by measuring the variation of solution turbidity in the temperature range −5 to 46°C.

Later minimal total variation (TV) solution [23] and sparse priors [3] were used successfully on this problem.

This slight variation to solution (3) above is given by the definition of (chooseCandidates(cdot )) in Algorithm 3.

This slight variation to solution (3) above using neighbourhood association is given by this definition of (chooseCandidates(cdot )) in Algorithm 4.

The RRG value of each line was normalized to that of M. truncatula Jemalong A17 to account for any variation in solution pH or composition in the different tubs.