Geodesic
On periodic solutions of a special type of the beam equation
Applications of Mathematics, Tome 33 (1988) no. 1, pp. 33-40.

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The paper deals with the existence of time-periodic solutions to the beam equation, in which terms expressing torsion and damping are also considered. The existence of periodic solutions is proved in the cas of time-periodic outer forces by means of an apriori estimate and the Fourier method.
DOI : 10.21136/AM.1988.104284
Classification : 35B10, 35B45, 35G20, 73K12, 74H45
Keywords: existence; time-periodic solutions; a priori estimate; Fourier method; Brouwer’s theorem; truncated system; beam equation 
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     author = {\v{R}eh\'a\v{c}ek, Jan},
     title = {On periodic solutions of a special type of the beam equation},
     journal = {Applications of Mathematics},
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     publisher = {mathdoc},
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     zbl = {0665.35015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104284/}
}
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Řeháček, Jan. On periodic solutions of a special type of the beam equation. Applications of Mathematics, Tome 33 (1988) no. 1, pp. 33-40. doi : 10.21136/AM.1988.104284. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104284/

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