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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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