Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem (Q1722440)

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scientific article; zbMATH DE number 7022001
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Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem
scientific article; zbMATH DE number 7022001

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    Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem (English)
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    14 February 2019
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    Summary: A class of second order impulsive Hamiltonian systems are considered. By applying a local linking theorem, we establish the new criterion to guarantee that this impulsive Hamiltonian system has at least one nontrivial T-periodic solution under local superquadratic condition. This result generalizes and improves some existing results in the known literature.
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