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Hall, W. S.

Periodic solutions of a class of weakly nonlinear evolution equations. (English) Zbl 0211.12704

Arch. Ration. Mech. Anal. 39, 294-322 (1970).
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Cited in 14 Documents

MSC:

35B10 Periodic solutions to PDEs
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\textit{W. S. Hall}, Arch. Ration. Mech. Anal. 39, 294--322 (1970; Zbl 0211.12704)
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[1] Cesari, L., Existence in the large of periodic solutions of hyperbolic partial differential equations. Arch. Rational Mech. Anal. 20, 170–190 (1965). · Zbl 0154.35902
[2] Hale, J. K., Periodic solutions of a class of hyperbolic equations containing a small parameter. Arch. Rational Mech. Anal. 23, 380–398 (1967). · Zbl 0152.10002
[3] Vejvoda, O., Periodic solutions of a linear and weakly nonlinear wave equation in one dimension. I. Czech. Math. J. 14, 341–382 (1964). · Zbl 0178.45302
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[5] Rabinowitz, P. H., Periodic solutions of nonlinear hyperbolic partial differential equations. II. Comm. Pure Appl. Math. XXII, 15–39 (1969). · Zbl 0157.17301
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[8] Karimov, D. H., On the periodical solutions of nonlinear equations of the fourth order. Comptes Rendus (Doklady) de l’Académie des Sciences de l’URRS XLIX, 618–621 (1945). · Zbl 0061.22203
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[15] Hall, W. S., On the existence of periodic solutions for the equations 322-01. Journal of Diff. Equations 7, 509–526 (1970). · Zbl 0198.14002
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[20] Edwards, R. E., Fourier Series: A Modern Introduction. New York: Holt, Rinehart, and Winston, Vol. II, 1967, Ch. 12, 46–132.
[21] Kantorovich, L.V., & G. P. Akilov, Functional Analysis in Normed Spaces. New York: MacMillan 1964, Chapter XVII, 4, 684–689. · Zbl 0127.06104
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