Periodic solutions for discontinuous perturbations of the relativistic operator

Jebelean, Petru;Mawhin, Jean;Şerban, Cǎlin
(2016) Bulletin des sciences mathématiques — Vol. 140, n° 1, p. 99-117 (2016)

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  • Jebelean, PetruUniversitatea de Vest din Timisoara
    Author
  • Mawhin, JeanUCLouvain
    Author
  • Şerban, CǎlinUniversitatea de Vest din Timisoara
    Author
Abstract
In this paper we study the existence and multiplicity of periodic solutions for discontinuous perturbations of the operator . The results are obtained by reduction to an equivalent non-singular problem and using the non-smooth critical point theory. Some illustrative examples concerning Filippov type solutions are also provided
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Jebelean, P., Mawhin, J., & Şerban, C. (2016). Periodic solutions for discontinuous perturbations of the relativistic operator. Bulletin des sciences mathématiques, 140(1), 99-117. https://doi.org/10.1016/j.bulsci.2015.02.002 (Original work published 2016)