We study the existence and uniqueness of the multiperiodic solution of the first boundary-value problem for a system of parabolic equations with multidimensional time.
Similar content being viewed by others
References
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).
S. D. Éidel’man, Parabolic Systems [in Russian], Nauka, Moscow (1964).
D. U. Umbetzhanov, Almost Periodic Solutions of Evolutionary Equations [in Russian], Nauka, Alma-Ata (1990).
A. T. Asanova, “Bounded solution of a nonlinear parabolic equation,” Izv. Min. Nauki–Akad. Nauk Resp. Kazakh., Ser. Fiz.-Mat., No. 1, 33–39 (1997).
G. A. Abdikalikova, “Multiperiodic solution of one boundary-value problem for a parabolic equation with multidimensional time,” in: Abstracts of the Internat. Sci. Conf. of Students, Magistrates, and Young Scientists “Lomonosov-2012”, Kazakhstan Branch of the Lomonosov Moscow State University, Astana (2012), Part I, pp. 7–9.
G. A. Abdikalikova, “On boundary-value problem for the system of parabolic equations,” in: Proc. of the Sixth Internat. Sci. Conf., Aktobe (2012), Part I, pp. 178–180.
Author information
Authors and Affiliations
Additional information
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 5, pp. 645–655, May, 2014.
Rights and permissions
About this article
Cite this article
Kenzhebaev, K.K., Abdikalikova, G.A. & Berzhanov, A.B. Multiperiodic Solution of a Boundary-Value Problem for one Class of Parabolic Equations with Multidimensional Time. Ukr Math J 66, 719–731 (2014). https://doi.org/10.1007/s11253-014-0967-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-014-0967-y