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cyy__8906新蟲 (小有名氣)
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[求助]
龍以明院士出的書籍
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請(qǐng)問，龍以明院士出版的書籍，除了《index theory for symplectic paths with applications》，還有什么書？多謝 |
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cyy__8906
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xinmor
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【答案】應(yīng)助回帖
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cyy__8906: 金幣+10, 博學(xué)EPI+1 2013-12-02 21:51:39
cyy__8906: 金幣+10, 博學(xué)EPI+1 2013-12-02 21:51:39
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Bott formula of the Maslov-type index theory. 美國(guó) 《Pacific J. Math.》187卷 113-149頁(1999). Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. 美國(guó)《Advances in Math.》 154卷， 76-131頁 (2000). Multiple periodic points of the Poincare map of Lagrangian systems on tori. 德國(guó) 《Math. Z.》233卷 443-470頁 (2000). Closed characteristics on compact convex hypersurfaces in R2n. 美國(guó)《Annals of Mathematics》155 卷， 317-368頁 (2002). [1] Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Trans. Amer. Math. Soc. 311 (1989) 749-780. [2] Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Science in China. Series A. 33 (1990) 1409-1419. [3] Bott formula of the Maslov-type index theory. Pacific J. Math. 187 (1999), 113-149. [4] Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Advances in Math. 154 (2000) 76-131. [5] (Joint with Chaofeng Zhu) Closed characteristics on compact convex hypersurfaces in R2n. Annals of Mathematics. 155 (2002). 317-368. [6] Index Theory for Symplectic Paths with Applications. Progress in Math. 207, Birkh?user. Basel. 2002. [7] Multiplicity and stability of closed geodesics on Finsler 2-spheres. J. of Euro. Math. Soc. 8 (2006) 341-353. [8] (Joint with Wei Wang, Xijun Hu) Resonance identity, stability and multiplicity of closed characteristics on compact convex hypersurfaces. Duke Math. J. 139 (2007) 411-462. [9] (Joint with Huagui Duan) Multiple closed geodesics on 3-spheres. Advances in Math. 221 (2009) 1757-1803. [10] (Joint with Victor Bangert) The existence of two closed geodesics on every Finsler 2-sphere. Math. Ann. 346 (2010) 335-366. |
2樓2013-11-25 19:19:10
xinmor
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4樓2013-12-02 22:25:17
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