Forced oscillations of beams on elastic bearings

M. Feckan, Comenius University, Bratislava, Slovakia

E. J. Qualitative Theory of Diff. Equ., Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 9. (2004), pp. 1-20.

Abstract: We study the existence of weak periodic solutions for certain damped and forced linear beam equations resting on semi-linear elastic bearings. Conditions for the periodic forcing term and semi-linear elastic bearings are derived which ensure either the existence or nonexistence of periodic solutions of the beam equation. Topological degree arguments are used to achieve these results.

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