Multiple periodic solutions for perturbed relativistic pendulum systems
(2015) Proceedings of the American Mathematical Society — Vol. 143, n° 7, p. 3029-3039 (2015)
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- 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.
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Jebelean, P., Mawhin, J., & Şerban, C. (2015). Multiple periodic solutions for perturbed relativistic pendulum systems. Proceedings of the American Mathematical Society, 143(7), 3029-3039. https://doi.org/10.1090/S0002-9939-2015-12542-7 (Original work published 2015)