MULTIPLE PERIODIC SOLUTIONS FOR PERTURBED RELATIVISTIC PENDULUM SYSTEMS

作者:Jebelean Petru*; Mawhin Jean; Serban Calin
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(7): 3029-3039.
DOI:10.1090/s0002-9939-2015-12542-7

摘要

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.

  • 出版日期2015-7