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.
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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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

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[2] J. M. Ball: Initial Boundary Value Problems for an Extensible Beam. Journal of Math. Anal. and Appl. 42(1973), 61-90. | MR | Zbl

[3] J. Kurzweil: Ordinary Differential Equations. Elsevier, Amsterdam, 1986. | MR | Zbl

[4] S. P. Timošenko D. H. Young W. Weaver: Vibrations Problems in Engineering. New York 1974.

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