Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces

V. Kostin; S. Pisareva

doi:10.12737/6337

CORRECT SOLVABILITY OF SOME NONSTATIONARY PROBLEMS IN TWO-DIMENSIONAL WEIGHTED STEPANOV SPACES Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 5, p. 1 · Pages 46–49 · Rubric: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI: https://doi.org/10.12737/6337

Received: 11.11.2014 Accepted: 11.11.2014 Published: 11.11.2014 Language of publication: RUS

Authors

V. Kostin

S. Pisareva

V. Kostin

S. Pisareva

ABSTRACT

The article deals with the correct solvability of some differential equations in two-dimensional 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.

Text

УДК: 517.955.4

корректная разрешимость некоторых нестационарных задач в двумерных весовых пространствах Степанова

Correct solvability of some nonstationary problems in TWO-DIMENSIONAL weighted Stepanov SPACES

Костин В.А.

ФГБОУ ВПО «Воронежский государственный университет»

Писарева С.В.

ФГБОУ ВПО «Воронежская государственная лесотехническая академия»

г. Воронеж, Россия

pisareva_s@mail.ru

DOI: 10.12737/6337

Аннотация: В статье рассматривается вопрос корректной разрешимости некоторых дифференциальных уравнений в двумерных весовых пространствах Степанова. Решение ищется методом теории полугрупп и связанных с ним дробных степеней операторов.

Summary: The article deals with the correct solvability of some differential equations in two-dimensional weighted Stepanov spaces. The solution is sought by the theory of semigroups and related fractional powers of operators.

Ключевые слова: краевая задача, полугруппа, дробные степени операторов.

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

1. Iosida, K. Funktsional´nyy analiz: Uchebnik/ K. Iosida, per. s angl. V.M. Volosova. - M.:Mir,1965. - 624 s.

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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Igor Shanin

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GOST

Kostin V., Pisareva S. Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 5. pp. 46-49. DOI: https://doi.org/10.12737/6337. (Date of access 22.10.2026).

MLA

V. Kostin, Pisareva S.. "Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces." Actual directions of scientific researches of the XXI century: theory and practice 2.5 (2014): 46-49. DOI: https://doi.org/10.12737/6337.

APA

Kostin V., Pisareva S. (2014). Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces. Actual directions of scientific researches of the XXI century: theory and practice, 2(5), 46-49. https://doi.org/10.12737/6337

Chicago

V. Kostin, Pisareva S.. "Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 5 (2014): 46-49. https://doi.org/10.12737/6337.

WIKI

{{cite journal | author = Kostin V., Pisareva S. | title = Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 5 | pages = 46-49 | doi = 10.12737/6337 }}

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CORRECT SOLVABILITY OF SOME NONSTATIONARY PROBLEMS IN TWO-DIMENSIONAL WEIGHTED STEPANOV SPACES Correct solvability of some nonstationary problems in two-dimensional weighted stepanov spaces

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