Abstract
On the basis of properties of the Vejvoda-Shtedry operator, we obtain solvability conditions for the 2π-periodic problem
.
Similar content being viewed by others

References
Yu. A. Mitropol’skii and G. P. Khoma, “On periodic solutions of wave equations of the second order. II,” Ukr. Mat. Zh., 38, No. 6, 733–739 (1986).
O. Vejvoda and M. Shtedry, “The existence of classical periodic solutions of a wave equation: Relationship between the number-theoretic character of the period and geometric properties of solutions,” Differents. Uravn., 20, No. 10, 1733–1739 (1984).
L. A. Lyusternik and V. I. Sobolev, Elements of Functional Analysis [in Russian], Nauka, Moscow (1965).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 818–821, June, 1998.
Rights and permissions
About this article
Cite this article
Mitropol’skii, Y.A., Khoma, G.P. & Khoma, N.G. Conditions of solvability of quasilinear periodic boundary-value problems for hyperbolic equations of the second order. Ukr Math J 50, 929–933 (1998). https://doi.org/10.1007/BF02515226
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02515226