Unboundedness of solutions of a class of planar Hamiltonian systems |
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| Authors: | Xiaojing Yang Kueiming Lo |
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| Institution: | 1. Department of Mathematics, Tsinghua University, Beijing 100084, ChinaPhone: +8610 62796912, Fax: +8610 62796912;2. School of Software, Tsinghua University, Beijing 100084, China;3. Phone: +8610 62785440 |
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| Abstract: | In this paper, the unboundedness of solutions for the following planar Hamilton system Ju ′ = ?H (u) + h (t) is discussed, where the function H (u) ∈ C2(R2, R) is positive for u ≠ 0 and is positively (q, p)‐quasihomogeneous of quasi‐degree pq, where p > 1 and  +  = 1, h: S1 → R2 with h ∈ L∞(0, 2π) is 2π ‐periodic and J is the standard symplectic matrix. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Planar hamiltonian systems unboundedness of solutions resonance |
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