Periodic solutions of second order lagrangian difference systems with bounded or singular Φ-Laplacian and periodic potential

Mawhin, Jean
(2013) Discrete and Continuous Dynamical Systems. Series S — Vol. 6, n° 4, p. 1065-1076 (2013)

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  • Mawhin, JeanUCLouvain
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Abstract
T-periodic solutions of systems of difierence equations of the form [q(n 1)] = rqF[n; q(n)] + h(n) (n 2 Z) where = r, with strictly convex, is a homeomorphism of RN onto the ball Ba RN, or a homeomorphism of the ball Ba RN onto RN, are considered when F(n; u) is periodic in the uj . The approach is variational.
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Mawhin, J. (2013). Periodic solutions of second order lagrangian difference systems with bounded or singular Φ-Laplacian and periodic potential. Discrete and Continuous Dynamical Systems. Series S, 6(4), 1065-1076. https://doi.org/10.3934/dcdss.2013.6.1065 (Original work published 2013)