Geodesic
Abstract semilinear equations with small nonlinearities
Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 4, pp. 785-805

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Classification : 35L05, 35Q99, 47H10, 47H15, 47J05 
Sova, Miroslav. Abstract semilinear equations with small nonlinearities. Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 4, pp. 785-805. http://geodesic.mathdoc.fr/item/CMUC_1971_12_4_a10/
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     zbl = {0235.47034},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1971_12_4_a10/}
}
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[1] J. K. HALE: Periodic solutions of a class of hyperbolic equations containing a small parameter. Arch. Ration. Mech. Anal. 23 (1967), 380-398. | MR | Zbl

[2] H. LOVICAROVÁ: Periodic solutions of a weakly nonlinear wave equation in one dimension. Czech. Math. J. 19 (1969), 324-342. | MR

[3] L. de SIMON G. TORELLI: Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari. Ren. Sem. Mat. Univ. Padova 40 (1968), 380-401. | MR

[4] G. TORELLI: Soluzioni periodiche dell'equazione non lineare $u\sb{tt}-u\sb{xx}+\varepsilon F(x,\,t,\,u)=0$. Rend. Ist. di Matem. Univ. Trieste. 1 (1969), 123-137. | MR

[5] S. BANCROFT J. K. HALE D. SWEET: Alternative problems for nonlinear functional equations. J. of Diff. Equations 4 (1968), 40-56. | MR

[6] W. S. HALL: On the existence of periodic solutions for the equations $D\sb{tt}u+(-1)\sp{p}\,D\sb{x}\sp{2p}u=\varepsilon f(·,·,u)$. J. of Diff. Equations 7 (1970), 509-526. | MR