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References:
[1] Hall W. S.: On the existence of periodic solutions for the equations $D\sb{tt}u+(-1)\sp{p}\,D\sb{x}\sp{2p}u=\varepsilon f(·,·,u)$. Jour. of Diff. Equations, 7, 509-526, 1970. MR 0265738
[2] Hall W. S.: Periodic solutions of a class of weakly nonlinear evolution equations. Arch. Rat. Mech. Anal., Vol. 39, 4, 294-322. DOI 10.1007/BF00281367 | MR 0274914 | Zbl 0211.12704
[3] Lovicarová H.: Periodic solutions of a weakly nonlinear wave equation in one dimension. Czech. Math. J. 19, 1969, 324-342. MR 0247249
[4] Krylová N.: Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term. Czech. Math. J. 20, 1970, 375-405. MR 0283358
[5] Krylová N., Vejvoda O.: A linear and weakly nonlinear equation of a beam: The boundary-value problem for free extremities and its periodic solutions. Czech. Math. J. 21, 1971, 535-566. MR 0289918
[6] Moser J.: A rapidly convergent iteration method and nonlinear partial differential equations. Ann. Scuola Norm. Super. Pisa, Ser. 3, 20, 1956, 265-315. MR 0199523
[7] Rabinowitz P. H.: Periodic solutions of nonlinear hyperbolic partial differential equations. Comm. Pure Appl. Math., 20, 1967, 145-205. DOI 10.1002/cpa.3160200105 | MR 0206507 | Zbl 0152.10003
[8] Rabinowitz P. H.: Time periodic solutions of nonlinear wave equations. Manuscripta math., 5, 1971, 165-194. DOI 10.1007/BF01325026 | MR 0326179 | Zbl 0219.35062
[9] De Simon L., Torelli C.: Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari. Rend. Sem. Mat. Univ. Padova XL, 1968, 380-401. MR 0228836 | Zbl 0198.13704
[10] Torelli G.: Soluzioni periodiche dell'equazione non lineare $u\sb{tt}-u\sb{xx} + f(x, t, u) = 0$. Rend. Ist. di Matem. Univ. Trieste 1, 1969, 123-137. MR 0271520
[11] Petryshyn W. V.: On nonlinear $P$-compact operators in Banach space with applications to constructive fixed-point theorems. J. Math. Anal. Appl. 15, 1966, 228-242. DOI 10.1016/0022-247X(66)90114-4 | MR 0202014 | Zbl 0149.10602
[12] Bers L., John F., Schechter W.: Partial Differential Equations. New York, Interscience 1964. Zbl 0126.00207
[13] Randol В.: A lattice-point problem II. TAMS 125, 1966, 101-113. DOI 10.1090/S0002-9947-1966-0201408-4 | MR 0201408 | Zbl 0161.04902
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