Literature cited
P. H. Rabinowitz, “Periodic solutions of nonlinear hyperbolic partial differential equations,” Commun. Pure Appl. Math.,20, No. 1, 145–205 (1967).
P. H. Rabinowitz, “A priori bounds for a semilinear wave equation,” Lect. Notes Math., No. 703, Springer, Berlin (1979), pp. 340–347.
H. Brezis, J.-M. Coron, and L. Nirenberg, “Free vibrations for a nonlinear wave equation and a theorem of Rabinowitz,” Commun. Pure Appl. Math.,33, No. 5, 667–684 (1980).
H. Brezis and J.-M. Coron, “Periodic solutions of nonlinear wave equations and Hamiltonian systems,” Am. J. Math.,103, No. 3, 559–570 (1981).
G. P. Khoma, On the Structure of Periodic Solutions of a Second-Order Wave Equation [in Russian], Preprint, Inst. Mat., Akad. Nauk Ukr. SSR, Kiev (1985).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 4, pp. 531–534, July–August, 1986.
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Khoma, G.P., Gromyak, M.I. Periodic solutions of second-order hyperbolic integrodifferential equations. Ukr Math J 38, 459–461 (1986). https://doi.org/10.1007/BF01057312
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DOI: https://doi.org/10.1007/BF01057312