Positivity of the difference neutron transport operator
Ashyralyev A. Taskin A.
2021Academic Publications Ltd.
International Journal of Applied Mathematics
2021#34Issue 2325 - 337 pp.
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 (Formula presented) 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 spaces (Formula presented) and (Formula presented) are 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.
difference neutron transport operator , positive operator , Slobodeckij space
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Department of Mathematics, Near East University Nicosia, TRNC, Mersin, 10, Turkey
Peoples’ Frienship University of Russia (RUDN University), Ul Mikluko Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling Almaty, 050010, Kazakhstan
ENKA Schools, Istinye, Istanbul, 34460, Turkey
Department of Mathematics
Peoples’ Frienship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling Almaty
ENKA Schools
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