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Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems - MaRDI portal

Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems (Q1760820)

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scientific article; zbMATH DE number 6106299
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Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems
scientific article; zbMATH DE number 6106299

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    Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems (English)
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    15 November 2012
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    Summary: A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodic and do not necessarily satisfy the global Ambrosetti-Rabinowitz condition.
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