Infinitely many homoclinic orbits for supperlinear Hamiltonian systems
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Homoclinic orbits, Hamiltonian systems, (C)_c-condition, variational methodsAbstrakt
In this paper we study the first order nonautonomous Hamiltonian system $$ \dot{z}=\mathcal J H_{z}(t,z), $$ where $H(t,z)$ depends periodically on $t$. By using a generalized linking theorem for strongly indefinite functionals, we prove that the system has infinitely many homoclinic orbits for weak superlinear cases.Pobrania
Opublikowane
2012-04-23
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WANG, Jun, XU, Junxiang & ZHANG, Fubao. Infinitely many homoclinic orbits for supperlinear Hamiltonian systems. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2012, T. 39, nr 1, s. 1–22. [udostępniono 22.7.2024].
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