Advances in Differential Equations
- Adv. Differential Equations
- Volume 8, Number 9 (2003), 1043-1080.
Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings
We show the existence of bounded and periodic solutions for certain weakly damped linear beam equations with slowly periodic perturbations resting on weakly nonlinear elastic bearings. The homoclinicity of the bounded solutions to periodic ones are also derived.
Adv. Differential Equations, Volume 8, Number 9 (2003), 1043-1080.
First available in Project Euclid: 19 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35B10: Periodic solutions
Secondary: 35B25: Singular perturbations 35B32: Bifurcation [See also 37Gxx, 37K50] 37C29: Homoclinic and heteroclinic orbits 74H20: Existence of solutions 74K10: Rods (beams, columns, shafts, arches, rings, etc.)
Battelli, Flaviano; Fečkan, Michal. Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings. Adv. Differential Equations 8 (2003), no. 9, 1043--1080. https://projecteuclid.org/euclid.ade/1355926579