Literature cited
O. Veivoda and M. Shtedry, “Existence of classical periodic solutions of the wave equation. Relation of the theoretical-numerical character of the period and geometric properties of solutions,” Differents. Uravn.,20, No. 10, 1733–1739 (1984).
Haim Brezis and Jean-Michel Coron, “Periodic solutions of nonlinear wave equations and Hamiltonian systems,” Am. J. Math.,103, No. 3, 559–570 (1981).
J. M. Coron, “Solutions périodiques non triviales d'une équation des ondes,” Commun. Part. Different. Equat.,6, No. 7, 829–848 (1981).
Haim Brezis, Jean-Michel Coron, and Louis Nirenberg, “Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz,” Commun. Pure and Appl. Math.,33, No. 5, 667–684 (1980).
Yu. A. Mitropol'skii and G. P. Khoma, “Periodic solutions of second-order wave equations. I,” Ukr. Mat. Zh.,38, No. 5, 593–600 (1986).
G. P. Khoma, “Periodic solutions of second-order differential wave equations,” Preprint Akad. Nauk Ukr. SSR Inst. Mat.; 86.05 (1986).
G. P. Khoma, “The structure of periodic solutions of second-order wave equations,” Preprint, Akad. Nauk Ukr. SSR, Inst. Mat.; 85.53 (1985).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 6, pp. 733–739, November–December, 1986.
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Mitropol'skii, Y.A., Khoma, G.P. Periodic solutions of second-order wave equations. II. Ukr Math J 38, 617–623 (1986). https://doi.org/10.1007/BF01056646
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DOI: https://doi.org/10.1007/BF01056646