On periodic solutions of superquadratic Hamiltonian systems
We study the existence of periodic solutions for some Hamiltonian systems $dot z=JH_{z}(t,z)$ under new superquadratic conditions which cover the case $H(t,z)=|z|^{2}(ln (1+|z|^{p}))^q $ with $p, q>1$. By using the linking theorem, we obtain some new results.
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| Format: | Article |
| Language: | English |
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Texas State University
2002-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/08/abstr.html |
| Summary: | We study the existence of periodic solutions for some Hamiltonian systems $dot z=JH_{z}(t,z)$ under new superquadratic conditions which cover the case $H(t,z)=|z|^{2}(ln (1+|z|^{p}))^q $ with $p, q>1$. By using the linking theorem, we obtain some new results. |
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| ISSN: | 1072-6691 |