Abstract and keywords
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.

Keywords:
boundary value problem, semigroup, fractional powers of operators
References

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


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