A simple proof of multiplicity for periodic solutions of Lagrangian difference systems with relativistic operator and periodic potential

DOI10.1080/10236198.2015.1089867zbMath1381.39012OpenAlexW2206378490MaRDI QIDQ2804539

Jean Mawhin

Publication date: 29 April 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1089867

zbMATH Keywords

periodic solutionsdifference equationsvariational methodrelativistic oscillatorsingular \(\phi\)-Laplacian

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Partial difference equations (39A14) Periodic solutions of difference equations (39A23)

Related Items

On variational and topological methods in nonlinear difference equations, Dirichlet systems with discrete relativistic operator, Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs. difference, Morse theory and multiple periodic solutions of some quasilinear difference systems with periodic nonlinearities, Critical point theory to isotropic discrete boundary value problems on weighted finite graphs

Cites Work

• Unnamed Item
• Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Periodic solutions of second order Lagrangian difference systems with bounded or singular \(\phi\)-Laplacian and periodic potential
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Multiple periodic solutions for perturbed relativistic pendulum systems
• The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems