Morse theory and multiple periodic solutions of some quasilinear difference systems with periodic nonlinearities

DOI10.1515/gmj-2016-0075zbMath1360.39004OpenAlexW2562509235MaRDI QIDQ516921

Călin Şerban, Jean Mawhin, Petru Jebelean

Publication date: 15 March 2017

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0075

zbMATH Keywords

periodic solutionsMorse theorysingular \(\phi\)-Laplacianquasilinear difference system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Additive difference equations (39A10) Periodic solutions of difference equations (39A23)

Related Items (2)

On variational and topological methods in nonlinear difference equations ⋮ Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs. difference

Cites Work

• Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian
• Critical point theory and Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• A simple proof of multiplicity for periodic solutions of Lagrangian difference systems with relativistic operator and periodic potential
• Existence of solutions for discretep-Laplacian with potential boundary conditions
• Multiple periodic solutions for perturbed relativistic pendulum systems
• Riemannian geometry and geometric analysis
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