POSITIVITY OF THE DIFFERENCE NEUTRON TRANSPORT OPERATOR

Allaberen Ashyralyev, Abdulgafur Taskin

2021

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.12732/ijam.v34i2.9
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

In the present study, a two-dimensional difference neutron transport operator is considered.The resolvent equation for this neutron transport operator is constructed.The positivity of this difference neutron transport operator in L 1 R 2 (r,h) is provided.The structure of fractional spaces generated by the two-dimensional difference neutron transport operator is studied.It is established that the norms in the spacesare equivalent.This result enabled us to prove the positivity of the difference neutron transport operator in the Slobodeckij space.In practice, the theorem on the stability of the Cauchy problem for the difference neutron transport equation in Banach spaces is presented.