Abstract
In three spaces, we obtain exact classical solutions of the boundary-value periodic problem u tt−a 2 u xx=g(x,t), u(0,t)=u(π,t)=0, u(x,t+T)=u(x,t)=0, x,t∈ĝ
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. G. Khoma and N. G. Khoma, “On properties of solutions of one boundary-value problem,” Dopov. Akad. Nauk Ukr., No. 3, 38–40 (1994).
N. G. Khoma, “Spaces of solutions of one boundary-value problem,” Dopov. Akad. Nauk Ukr., No. 1, 30–32 (1996).
Yu. A. Mitropol’skii, N. G. Khoma, and M. I. Gromyak, Asymptotic Methods for the Investigation of Quasiwave Equations of the Hyperbolic Type [in Russian], Naukova Dumka, Kiev (1991).
O. Vejvoda and M. Shtedry, “Existence of classic periodic solutions of wave equations. A relationship between the number-theoretic character of a period and geometric properties of solutions,” Differents. Uravn., 20, No. 10, 1733–1739 (1984).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1537–1544, November, 1998.
Rights and permissions
About this article
Cite this article
Khoma, N.G. Linear periodic boundary-value problem for a second-order hyperbolic equation. I. Ukr Math J 50, 1755–1764 (1998). https://doi.org/10.1007/BF02524482
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02524482