## Multiple periodic solutions for perturbed relativistic pendulum systems

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- by Petru Jebelean, Jean Mawhin and Călin Şerban PDF
- Proc. Amer. Math. Soc.
**143**(2015), 3029-3039 Request permission

## Abstract:

We show that the periodically perturbed $N$-dimensional relativistic pendulum equation has at least $N+1$ geometrically distinct periodic solutions. Also, we obtain the existence of infinitely many solutions for systems with oscillating potential. Both results are obtained by reduction to an equivalent non-singular problem using classical critical point theory.## References

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## Additional Information

**Petru Jebelean**- Affiliation: Department of Mathematics, West University of Timişoara, 4, Boulevard V. Pârvan 300223-Timişoara, Romania – and – Institute of Mathematics “Simion Stoilow” of the Romanian Academy
- MR Author ID: 217909
- Email: jebelean@math.uvt.ro
**Jean Mawhin**- Affiliation: Research Institute in Mathematics and Physics, Université Catholique de Louvain, 2, Chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium
- MR Author ID: 121705
- Email: jean.mawhin@uclouvain.be
**Călin Şerban**- Affiliation: Department of Mathematics, West University of Timişoara, 4, Boulevard V. Pârvan 300223-Timişoara, Romania
- Email: cserban2005@yahoo.com
- Received by editor(s): March 11, 2014
- Published electronically: February 16, 2015
- Additional Notes: The first and third authors’ support by grant PN-II-RU-TE-2011-3-0157 (CNCS-Romania) is gratefully acknowledged
- Communicated by: Yingfei Yi
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**143**(2015), 3029-3039 - MSC (2010): Primary 34C25; Secondary 35J25, 35J65
- DOI: https://doi.org/10.1090/S0002-9939-2015-12542-7
- MathSciNet review: 3336627