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Existence of periodic solutions of a class of planar systems
Yang, XJ
2010-05-06 ; 2010-05-06
关键词periodic solutions resonance planar systems ASYMMETRIC NONLINEARITIES RESONANCE OSCILLATIONS EQUATIONS Mathematics, Applied Mathematics
中文摘要In this paper, we consider the existence of periodic solutions for the following planar system: Ju' = del H(u) + G(u) + h(t), where the function H(u) is an element of C-3(R-2\{0}, R) is positive for u not equal 0 and positively (q, p)quasi-homogeneous of quasi-degree pq, G : R-2 -> R-2 is local Lipschitz and bounded, h is an element of L-infinity (0, 2 pi) is 2 pi-periodic and J is the standard symplectic matrix.
语种英语 ; 英语
出版者HELDERMANN VERLAG ; LEMGO ; LANGER GRABEN 17, 32657 LEMGO, GERMANY
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/13940]  
专题清华大学
推荐引用方式
GB/T 7714
Yang, XJ. Existence of periodic solutions of a class of planar systems[J],2010, 2010.
APA Yang, XJ.(2010).Existence of periodic solutions of a class of planar systems..
MLA Yang, XJ."Existence of periodic solutions of a class of planar systems".(2010).
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