Periodic solutions for a class of non-coercive Hamiltonian systems
We prove the existence of non-constant $T$-periodic orbits of the Hamiltonian system $$displaylines{ dot q =H_p (t, p(t), q(t))cr dot p =-H_q (t, p(t), q(t)), }$$ where $H$ is a $T$-periodic function in $t$, non-convex and non-coercive in $(p,q)$, and has the form $H(t,p,q)sim |q|^{alpha}(|p|^{Beta}...
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| Format: | Article |
| Language: | English |
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Texas State University
2001-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/38/abstr.html |