PROBLEMS OF SOLVABILITY IN SPACES WITH THE UNDER-EXPONENTIAL GROWING WEIGHTS
Authors:
Type:
Article
Pages:
from 79
to 82
Status:
Published
Received:
29.08.2014
Accepted:
03.10.2014
Published:
03.10.2014
Language:
Russian
Keywords:
spaces with the under-exponential growing weights, Riemann–Liouville fractional integral, transient problem of heat and mass transfer, problems of solvability
Abstract (English):
We construct the transient problem of heat and mass transfer in Stepanov spaces with the under-exponential growing weights, research the Riemann–Liouville fractional integral in this spaces and formulate the theorem about problems of solvability of the transient problem.
We construct the transient problem of heat and mass transfer in Stepanov spaces with the under-exponential growing weights, research the Riemann–Liouville fractional integral in this spaces and formulate the theorem about problems of solvability of the transient problem.
Keywords:
spaces with the under-exponential growing weights, Riemann–Liouville fractional integral, transient problem of heat and mass transfer, problems of solvability
spaces with the under-exponential growing weights, Riemann–Liouville fractional integral, transient problem of heat and mass transfer, problems of solvability
Задачи тепломассопереноса имеют практическую ценность, в связи с чем их исследование является важным элементом прикладных исследований в математике.
1. Iosida K. Funktsional´nyy analiz: Uchebnik/ K. Iosida, per. s ang. V.M. Volosova.-- M.: Mir, 1967---624 s.
2. Kostin A.V. K teorii funktsional´nykh prostranstv Stepanova/ A.V. Kostin, V.A. Kostin.--- Voronezh: Izdatel´sko poligraficheskiy tsentr VGU, 2007.--- 259 s.
