Перейти до основного вмісту
Periodic Cauchy problem for evolution equations in Banach spaces
Gorodetskii Vasyl 1 , Drin Iryna Igorivna 2
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Finance, Accounting and Taxation, Chernivtsi Trade and Economic Institute, Chernivtsi, 58002, Ukraine
Keywords: рeriodic Cauchy problem, evolution equations, Banach spaces
Abstract

The necessary and sufficient condition for the solubility of the periodical Cauchy problem for a class of evolutionary pseudodifferential equations in Banach spaces of periodic functions is found.

References

[1] Gorbachuk V.I., Gorbachuk M.L. Boundary problems for differential operator equations / V.I. Gorbachuk, M.L. Gorbachuk - Kyiv: Naukova dumka, 1984. - 284 p.

[2] Gorbachuk V.I. About periodic ultradistributed Fourier series / V.I. Gorbachuk // Ukr. mate. journal - 1982. - T. 34, โ„– 2. - P. 144-150.

[3] Gorodetsky V.V. Sets of initial values โ€‹โ€‹of smooth solutions of differential operator equations of parabolic type / Vasyl Vasylevich Gorodetsky. - Chernivtsi: Ruta, 1998. - 219 p.

[4] Myronyk V.I. Periodic Cauchy problem for one class of evolutionary equations / V.I. Myronyk // Scientific Bulletin of Chernivtsi University: Collection of scientific works. Issue 314-315. Mathematics. - Chernivtsi: Ruta, 2006. - P. 134-142.

[5] Crane S.G. Linear differential equations in the Banach space / Selym Hryhorevich Krein. - M.: Nauka, 1967. - 464 p.

[6] Litovchenko V.A. Cauchy problem for one class of pseudodifferential systems in spaces of periodic functions / V.A. Litovchenko // Ukr. Mat. Visnyk. - 2007. - Vol. 4, โ„– 3. - P. 394-420.

[7] Myronyk V.I. Periodic Cauchy problem and two-point problem for evolutionary equations of infinite order: dissertation ... candidate of physical and mathematical sciences: 01.01.02 / Myronyk Vadim Ilyich. - Chernivtsi, 2009. - 147 p.

Cite
ACS Style
Gorodetskii, V.; Drin, I.I. Periodic Cauchy problem for evolution equations in Banach spaces. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Gorodetskii V, Drin II. Periodic Cauchy problem for evolution equations in Banach spaces. Bukovinian Mathematical Journal. 2018; 1(501).
Chicago/Turabian Style
Vasyl Gorodetskii, Iryna Igorivna Drin. 2018. "Periodic Cauchy problem for evolution equations in Banach spaces". Bukovinian Mathematical Journal. 1 no. 501.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings