Existence of periodic solutions for sub-linear first-order Hamiltonian systems
We prove the existence solutions for the sub-linear first-order Hamiltonian system $J\dot{u}(t)+Au(t)+\nabla H(t,u(t))=h(t)$ by using the least action principle and a version of the Saddle Point Theorem.
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Format: | Article |
Language: | English |
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Texas State University
2015-05-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2015/134/abstr.html |