Geodesic
Multiplicity results for some quasilinear differential systems with periodic nonlinearities
Minimax theory and its applications, Tome 2 (2017) no. 1
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A multiplicity result for periodic problems of the form −(ψ(u′))′ = ∇uV(t,u)+e(t), u(0) = u(T), u′(0) = u′(T), when ψ : RN → RN belongs to a suitable class of homeomorphisms, V is Ti-periodic in each component ui of u ∈ RN, and e has mean value zero on [0,T] is proved, and applied, by a modification technique, to obtain the same multiplicity for the solutions of the relativistic system ′ − u′ 1 −|u′|2 =∇uV(t,u)+e(t), u(0) = u(T), u′(0) = u′(T)
Mots-clés : Periodic solutions, periodic nonlinearities, relativistic pendulum systems 
@article{MTA_2017_2_1_a5,
     author = {Petru Jebelean and Jean Mawhin and C ̆alin S ̧erban},
     title = {Multiplicity results for some quasilinear differential systems with periodic nonlinearities},
     journal = {Minimax theory and its applications},
     year = {2017},
     volume = {2},
     number = {1},
     zbl = {1364.34028},
     url = {http://geodesic.mathdoc.fr/item/MTA_2017_2_1_a5/}
}
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Petru Jebelean; Jean Mawhin; C ̆alin S ̧erban. Multiplicity results for some quasilinear differential systems with periodic nonlinearities. Minimax theory and its applications, Tome 2 (2017) no. 1. http://geodesic.mathdoc.fr/item/MTA_2017_2_1_a5/