Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential
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Publication:852832
DOI10.1016/j.jmaa.2006.01.013zbMath1106.39022OpenAlexW2065950151WikidataQ58005366 ScholiaQ58005366MaRDI QIDQ852832
Xiaoqing Deng, Zhiming Guo, Jian She Yu
Publication date: 15 November 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.013
periodic solutionscritical point theorysubharmonic solutionslinking theoremsecond order Hamiltonian system
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Cites Work
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- Existence of periodic and subharmonic solutions for second-order superlinear difference equations
- Periodic solutions of a second order superquadratic system with a change of sign in the potential
- Critical point theory and Hamiltonian systems
- Existence and multiplicity results for homogeneous second order differential equations
- Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign
- Existence of \(2^n\) nontrivial solutions for discrete two-point boundary value problems
- Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
- Periodic solutions for second order Hamiltonian systems with a change sign potential
- Multiple positive solutions of singular and nonsingular discrete problems via variational methods
- Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
- Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential
- Solutions périodiques d'un système différentiel non linéaire du second ordre avec changement de signe. (Periodic solutions of a nonlinear second order differential system with change of sign)
- Periodic solutions of hamiltonian systems
- Existence of periodic solutions of Hamiltonian systems with potential indefinite in sign
- THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
- Periodic solutions of higher-dimensional discrete systems
- Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign