Periodic solutions of second order Lagrangian difference systems with bounded or singular $\phi$-Laplacian and periodic potential | Zendy

Jean Mawhin | Zendy

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Periodic 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 - 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

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