Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
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Publication:435887
DOI10.1016/J.NA.2011.11.018zbMath1252.39016OpenAlexW2012756964MaRDI QIDQ435887
Publication date: 12 July 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.11.018
variational inequalitiesperiodic solutionsdifference equationscurvature operatorvariational method\(\varphi \)-Laplacianrelativistic acceleration
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational methods for nonlinear perturbations of singular \(\varphi \)-Laplacians
- Existence of periodic and subharmonic solutions for second-order superlinear difference equations
- Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential
- Multiplicity results for periodic solutions to second-order difference equations
- Critical point theory and Hamiltonian systems
- On the solvability of semilinear gradient operator equations
- Periodic solutions of a class of non-autonomous second-order systems
- Notes on periodic solutions of subquadratic second order systems.
- Periodic solutions of non-autonomous second order systems with \(\gamma\)- quasisubadditive potential
- Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
- Periodic solutions of second order discrete convex systems involving the \(p\)-Laplacian
- Nontrivial periodic solutions for asymptotically linear resonant difference problem
- Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
- THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
- Periodic solutions of higher-dimensional discrete systems
- PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
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