Open AccessPeriodic solutions of second order Lagrangian difference systems with bounded or singular $\phi$-Laplacian and periodic potential
Author(s) -
Jean Mawhin
Publication year - 2012
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2013.6.1065
Subject(s) - nabla symbol , bounded function , combinatorics , homeomorphism (graph theory) , order (exchange) , ball (mathematics) , lagrangian , regular polygon , physics , mathematics , mathematical physics , mathematical analysis , omega , geometry , quantum mechanics , finance , economics
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