On periodic solutions of a special type of the beam equation
Řeháček, Jan
Applications of Mathematics, Tome 33 (1988), p. 33-40 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1988-01-01
Classification:  35B10,  35B45,  35G20,  73K12,  74H45 
@article{104284,
     author = {Jan \v Reh\'a\v cek},
     title = {On periodic solutions of a special type of the beam equation},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {33-40},
     zbl = {0665.35015},
     mrnumber = {0934372},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104284}
}

Řeháček, Jan. On periodic solutions of a special type of the beam equation. Applications of Mathematics, Tome 33 (1988) pp. 33-40. http://gdmltest.u-ga.fr/item/104284/

N. G. De Andrade On a nonlinear Systems of Partial Differential Equations, Journal of Math. Anal. and Appl. 91 (1983), 119-130. (1983) | Article | MR 0688537

J. M. Ball Initial Boundary Value Problems for an Extensible Beam, Journal of Math. Anal. and Appl. 42(1973), 61-90. (1973) | MR 0319440 | Zbl 0254.73042

J. Kurzweil Ordinary Differential Equations, Elsevier, Amsterdam, 1986. (1986) | MR 0929466 | Zbl 0667.34002

S. P. Timošenko D. H. Young W. Weaver Vibrations Problems in Engineering, New York 1974. (1974)