CORRECT SOLVABILITY OF SOME NON-STATIONARY PROBLEMS IN WEIGHTED STEPANOV SPACE
Authors:
Type:
Article
Pages:
from 109
to 112
Status:
Published
Received:
29.08.2014
Accepted:
11.03.2020
Published:
16.06.2014
Language:
Russian
Keywords:
boundary value problem, semigroup, fractional powers of operators
Abstract (English):
The article deals with the correct solvability of some differential equations in weighted Stepanov spaces. The solution is sought by the theory of semigroups and related fractional powers of operators.
The article deals with the correct solvability of some differential equations in weighted Stepanov spaces. The solution is sought by the theory of semigroups and related fractional powers of operators.
Keywords:
boundary value problem, semigroup, fractional powers of operators
boundary value problem, semigroup, fractional powers of operators
1. Pisareva, S.V. O korrektnoy razreshimosti odnoy nestatsionarnoy zadachi v vesovykh prostranstvakh Stepanova/ S.V.Pisareva// Mat. mezhd. konf. «Voronezhskaya zimnyaya matematicheskaya shkola S.G.Kreyna - 2014» pod red. V.A.Kostina. – Voronezh: Nauchnaya kniga, 2014. – s. 251-255.
2. Kreyn, S.G. Lineynye differentsial´nye uravneniya v banakhovom prostranstve/ S.G. Kreyn. – M.:Nauka,1967. – 464 s.
3. Goldsteyn, Dzh. Polugruppy lineynykh operatorov i ikh prilozheniya/ Dzh.Goldsteyn. –Kiev: Vyshcha shkola, 1989. – 347 s
