Edit Profile (opens in new tab) Long, Yiming Compute Distance To: Compute Author ID: long.yiming Published as: Long, Yiming; Long, Yi Ming; Long, Yi-Ming more...less Homepage: http://en.cim.nankai.edu.cn/About_CIM/Faculty/Long_Yiming.htm External Links: MGP · Wikidata · ResearchGate · GND · IdRef Documents Indexed: 109 Publications since 1989, including 1 Book 3 Contributions as Editor Reviewing Activity: 11 Reviews Co-Authors: 42 Co-Authors with 77 Joint Publications 950 Co-Co-Authors all top 5 Co-Authors 35 single-authored 11 Wang, Wei 10 Duan, Huagui 9 Liu, Hui 7 Liu, Chungen 7 Zhu, Chaofeng 4 Hu, Xijun 4 Sun, Shanzhong 4 Zhou, Qinglong 3 An, Tianqing 3 Dong, Yujun 3 Xiao, Yuming 3 Zhang, Shiqing 2 Chang, Kung-Ching 2 Dong, Di 2 Zeng, Chongchun 2 Zhang, Duanzhi 1 Ambrosetti, Antonio 1 Bangert, Victor 1 Benci, Vieri 1 Chang, Yinshan 1 Chen, Guoling 1 Chen, Hua 1 Ekeland, Ivar 1 Kuang, Wentian 1 Li, Chengyue 1 Liu, Bowen 1 Liu, Sai 1 Llibre, Jaume 1 Lu, Guangcun 1 Nishiura, Yasumasa 1 Ou, Yuwei 1 Qiao, Hui 1 Sun, Shanzong 1 Sun, Yijing 1 Wang, Jian 1 Wang, Yuchen 1 Wu, Shaoping 1 Xu, Xiangjin 1 Zehnder, Eduard J. 1 Zhang, Ping’an 1 Zhou, Congyi 1 Zhu, Gaosheng all top 5 Serials 12 Journal of Differential Equations 7 Acta Mathematica Sinica. English Series 6 Advanced Nonlinear Studies 5 Science in China. Series A 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Advances in Mathematics 4 Journal of Functional Analysis 4 Chinese Annals of Mathematics. Series B 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Frontiers of Mathematics in China 3 Mathematische Zeitschrift 3 Nankai Series in Pure, Applied Mathematics and Theoretical Physics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mathematica Sinica 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Chinese Science Bulletin 2 Qualitative Theory of Dynamical Systems 1 Nonlinearity 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Pacific Journal of Mathematics 1 Chinese Annals of Mathematics. Series A 1 Advances in Mathematics 1 International Journal of Mathematics 1 Acta Mathematica Sinica. New Series 1 Celestial Mechanics and Dynamical Astronomy 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis in Theory and Applications 1 Progress in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Scientia Sinica. Mathematica 1 Communications in Mathematics and Statistics all top 5 Fields 70 Dynamical systems and ergodic theory (37-XX) 52 Global analysis, analysis on manifolds (58-XX) 42 Ordinary differential equations (34-XX) 38 Differential geometry (53-XX) 27 Mechanics of particles and systems (70-XX) 6 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 2 Topological groups, Lie groups (22-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 1,983 times in 714 Documents Cited by ▼ Year ▼ Index theory for symplectic paths with applications. Zbl 1012.37012Long, Yiming 219 2002 Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. Zbl 1109.35344Sun, Yijing; Wu, Shaoping; Long, Yiming 111 2001 Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1028.53003Long, Yiming; Zhu, Chaofeng 109 2002 Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Zbl 0736.58022Long, Yiming 96 1990 Bott formula of the Maslov-type index theory. Zbl 0924.58024Long, Yiming 87 1999 Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Zbl 0970.37013Long, Yiming 70 2000 The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040Bangert, Victor; Long, Yiming 61 2010 Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng 53 2006 Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Zbl 0824.34042Long, Yiming 52 1995 Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Zbl 0676.34026Long, Yiming 49 1989 A Maslov-type index theory for symplectic paths. Zbl 0977.53075Long, Yiming 43 1997 The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Zbl 0870.58024Dong, Di; Long, Yiming 42 1997 Maslov-type index theory for symplectic paths and spectral flow. II. Zbl 0959.58017Long, Yiming; Zhu, Chaofeng 41 2000 Maslov-type index theory for symplectic paths and spectral flow. I. Zbl 0959.58016Zhu, Chaofeng; Long, Yiming 40 1999 The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems. Zbl 0804.34043Long, Yiming 37 1994 Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces. Zbl 1139.58007Wang, Wei; Hu, Xijun; Long, Yiming 37 2007 Four-body central configurations with some equal masses. Zbl 1033.70004Long, Yiming; Sun, Shanzhong 36 2002 The minimal period problem of classical Hamiltonian systems with even potentials. Zbl 0804.58018Long, Yiming 35 1993 Multiple closed geodesics on 3-spheres. Zbl 1172.53027Long, Yiming; Duan, Huagui 32 2009 Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1005.37030Liu, Chun-gen; Long, Yiming; Zhu, Chaofeng 31 2002 Multiple closed geodesics on bumpy Finsler \(n\)-spheres. Zbl 1106.53048Duan, Huagui; Long, Yiming 29 2007 The index growth and multiplicity of closed geodesics. Zbl 1206.53043Duan, Huagui; Long, Yiming 29 2010 Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory. Zbl 1301.70007Hu, Xijun; Long, Yiming; Sun, Shanzhong 29 2014 Iterated index formulae for closed geodesics with applications. Zbl 1054.53063Liu, Chungen; Long, Yiming 28 2002 Multiplicity and stability of closed geodesics on Finsler 2-spheres. Zbl 1099.53036Long, Yiming 27 2006 Iteration inequalities of the Maslov-type index theory with applications. Zbl 0961.37017Liu, Chungen; Long, Yiming 24 2000 A note on the existence of multiple brake orbits. Zbl 0811.70015Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 21 1993 Multiple periodic points of the Poincaré map of Lagrangian systems on tori. Zbl 0984.37074Long, Yiming 21 2000 Two closed geodesics on compact simply connected bumpy Finsler manifolds. Zbl 1357.53086Duan, Huagui; Long, Yiming; Wang, Wei 20 2016 The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. Zbl 1381.53071Duan, Huagui; Long, Yiming; Wang, Wei 20 2016 On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems. Zbl 0890.58069Long, Yiming 19 1997 Closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1109.37048Dong, Yujun; Long, Yiming 18 2004 Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 0915.58032Long, Yiming 17 1998 Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\). Zbl 1099.37047Hu, Xijun; Long, Yiming 16 2002 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 0980.70009Long, Yiming; Zhang, Shiqing 16 2000 Stability of closed geodesics on Finsler 2-spheres. Zbl 1151.53037Long, Yiming; Wang, Wei 15 2008 Indexing domains of instability for Hamiltonian systems. Zbl 0915.58035Long, Yiming; An, Tianqing 14 1998 The structure of the singular symplectic matrix set. Zbl 0746.15006Long, Yiming 12 1991 An unbounded solution of a superlinear Duffing’s equation. Zbl 0741.34015Long, Yiming 12 1991 Periodic solutions of perturbed superquadratic Hamiltonian systems. Zbl 0724.34052Long, Yiming 12 1990 Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Zbl 1351.37153Xiao, Yuming; Long, Yiming 12 2015 Periodic solutions for a class of nonautonomous Hamiltonian systems. Zbl 0960.37028Long, Yiming; Xu, Xiangjin 12 2000 Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\). Zbl 1347.37099Liu, Hui; Long, Yiming; Wang, Wei 12 2014 Hyperbolic characteristics on star-shaped hypersurfaces. Zbl 0988.37078Liu, Chungen; Long, Yiming 11 1999 Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. Zbl 0947.70009Long, Yiming; Zhang, Shiqing 11 2000 The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\). Zbl 1338.58008Liu, Hui; Long, Yi Ming 11 2016 Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric. Zbl 1330.53096Duan, Huagui; Long, Yiming; Xiao, Yuming 11 2015 Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms. Zbl 0666.34045Long, Yiming 11 1990 Multiple closed geodesics on Riemannian 3-spheres. Zbl 1125.58005Long, Yiming; Wang, Wei 11 2007 Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. Zbl 1165.53052Duan, Huagui; Long, Yiming 10 2008 Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. Zbl 1382.35293Zhou, Qinglong; Long, Yiming 9 2017 On the index theories for second order Hamiltonian systems. Zbl 0945.37018An, Tianqing; Long, Yiming 9 1998 Collinear central configurations and singular surfaces in the mass space. Zbl 1067.70010Long, Yiming; Sun, Shanzong 9 2004 Normal forms of symplectic matrices. Zbl 0959.15008Long, Yiming; Dong, Di 9 2000 Stable closed characteristics on partially symmetric convex hypersurfaces. Zbl 1108.37044Dong, Yujun; Long, Yiming 9 2004 Topological structures of \(\omega\)-subsets in symplectic groups. Zbl 0930.22001Long, Yiming 8 1999 A new class of problems in the calculus of variations. Zbl 1286.49025Ekeland, Ivar; Long, Yiming; Zhou, Qinglong 8 2013 Admissible shapes of 4-body non-collinear relative equilibria. Zbl 1106.70009Long, Yiming 8 2003 Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1383.58007Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei 7 2018 Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Zbl 1321.37060Liu, Hui; Long, Yiming 7 2013 Periodic solutions of second order nonlinear Hamiltonian systems with superquadratic potentials having zero mean value. Zbl 1062.37508Chen, Guoling; Long, Yiming 6 1998 Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. Zbl 1357.37083Liu, Hui; Long, Yiming 6 2015 Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. Zbl 1036.37020Long, Yiming 6 2002 The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. Zbl 1423.53053Liu, Hui; Long, Yiming; Xiao, Yuming 6 2018 The reduction of the linear stability of elliptic Euler-Moulton solutions of the \(n\)-body problem to those of 3-body problems. Zbl 1365.70012Zhou, Qinglong; Long, Yiming 5 2017 Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian. Zbl 1343.70010Llibre, Jaume; Long, Yiming 5 2015 Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori. Zbl 1011.37038Long, Yiming; Lu, Guangcun 5 2003 Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability. Zbl 1412.35244Long, Yiming; Wang, Yuchen; Zeng, Chongchun 4 2019 An optimal increasing estimate of the iterated Maslov-type indices. Zbl 1002.53055Liu, Chungen; Long, Yiming 4 1998 Index iteration theory for symplectic paths and multiple periodic solution orbits. Zbl 1222.37050Long, Yi-Ming 4 2006 Index iteration theory for brake orbit type solutions and applications. Zbl 1488.37044Liu, Chungen; Long, Yiming; Zhang, Duanzhi 3 2021 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 1288.70007Long, Yiming; Zhang, Shiqing 3 1999 Collinear central configurations in celestial mechanics. Zbl 1041.37042Long, Yiming; Sun, Shanzhong 3 2003 Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Zbl 1309.70011Zhou, Qinglong; Long, Yiming 3 2015 Linear stability of the elliptic relative equilibrium with \((1 + n)\)-gon central configurations in planar \(n\)-body problem. Zbl 1437.37066Hu, Xijun; Long, Yiming; Ou, Yuwei 3 2020 Geodesics in the compactly supported Hamiltonian diffeomorphism group. Zbl 0843.58022Long, Yiming 3 1995 Dynamics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1193.37084Long, Yiming 3 2000 Non-hyperbolic closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1408.58010Liu, Hui; Long, Yiming; Wang, Wei 3 2014 Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions. Zbl 1073.53010Dong, Yujun; Long, Yiming 3 2004 Forced oscillations for the triple pendulum. Zbl 0723.70025Chang, Kung-Ching; Long, Yiming; Zehnder, Eduard 3 1990 Linear stability of some symplectic matrices. Zbl 1200.37049Zhu, Gaosheng; Long, Yiming 3 2010 Stability of closed characteristics on compact convex hypersurfaces. Zbl 1136.58009Long, Yiming; Wang, Wei 3 2006 A new index theory for \(\mathrm{GL}^{+}(2)\)-paths with applications to asymptotically linear systems. Zbl 1360.58009Liu, Sai; Long, Yiming 2 2017 \(\omega\)-index theory and linear stability of elliptic Lagrangian solutions of the classical three-body problem. Zbl 1336.70026Long, Yiming 2 2012 Solutions of the generalized Lennard-Jones system. Zbl 1383.34021Liu, Bowen; Long, Yiming; Zeng, Chongchun 2 2018 Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\). Zbl 1329.52004Liu, Hui; Long, Yiming; Wang, Wei; Zhang, Ping’an 2 2014 Existence of nontrival homoclinic orbits in a class of Hamiltonian systems \(\ddot u-L(t)u+W_u^\prime(t,u)=0\). Zbl 1014.37039Li, Chengyue; Long, Yiming 2 2002 Collection of problems proposed at International Conference on Variational Methods. Zbl 1147.53002Long, Yiming 2 2008 Index iteration theories for periodic orbits: old and new. Zbl 1457.37082Duan, Huagui; Long, Yiming; Zhu, Chaofeng 2 2020 On the density of the range for some nonlinear operators. Zbl 0757.34034Long, Yiming 1 1989 Estimates on the minimal period for periodic solutions to autonomous superquadratic second-order Hamiltonian systems. Zbl 1011.34030Long, Yiming 1 1992 Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\). Zbl 1365.58008Liu, Hui; Long, Yiming 1 2017 Criterion for \(\text{SL}(2,\mathbb{Z})\)-matrix to be conjugate to its inverse. Zbl 1022.20021Long, Yiming 1 2002 Morse indices of closed geodesics on Katok’s 2-spheres. Zbl 1197.58003Long, Yiming; Wang, Wei 1 2008 On bifurcation of eigenvalues along convex symplectic paths. Zbl 1409.37058Chang, Yinshan; Long, Yiming; Wang, Jian 1 2019 The Rabinowitz minimal periodic solution conjecture. Zbl 1493.37077Long, Yiming 1 2021 Index iteration theory for brake orbit type solutions and applications. Zbl 1488.37044Liu, Chungen; Long, Yiming; Zhang, Duanzhi 3 2021 The Rabinowitz minimal periodic solution conjecture. Zbl 1493.37077Long, Yiming 1 2021 Linear stability of the elliptic relative equilibrium with \((1 + n)\)-gon central configurations in planar \(n\)-body problem. Zbl 1437.37066Hu, Xijun; Long, Yiming; Ou, Yuwei 3 2020 Index iteration theories for periodic orbits: old and new. Zbl 1457.37082Duan, Huagui; Long, Yiming; Zhu, Chaofeng 2 2020 Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability. Zbl 1412.35244Long, Yiming; Wang, Yuchen; Zeng, Chongchun 4 2019 On bifurcation of eigenvalues along convex symplectic paths. Zbl 1409.37058Chang, Yinshan; Long, Yiming; Wang, Jian 1 2019 Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1383.58007Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei 7 2018 The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. Zbl 1423.53053Liu, Hui; Long, Yiming; Xiao, Yuming 6 2018 Solutions of the generalized Lennard-Jones system. Zbl 1383.34021Liu, Bowen; Long, Yiming; Zeng, Chongchun 2 2018 Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. Zbl 1382.35293Zhou, Qinglong; Long, Yiming 9 2017 The reduction of the linear stability of elliptic Euler-Moulton solutions of the \(n\)-body problem to those of 3-body problems. Zbl 1365.70012Zhou, Qinglong; Long, Yiming 5 2017 A new index theory for \(\mathrm{GL}^{+}(2)\)-paths with applications to asymptotically linear systems. Zbl 1360.58009Liu, Sai; Long, Yiming 2 2017 Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\). Zbl 1365.58008Liu, Hui; Long, Yiming 1 2017 Two closed geodesics on compact simply connected bumpy Finsler manifolds. Zbl 1357.53086Duan, Huagui; Long, Yiming; Wang, Wei 20 2016 The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. Zbl 1381.53071Duan, Huagui; Long, Yiming; Wang, Wei 20 2016 The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\). Zbl 1338.58008Liu, Hui; Long, Yi Ming 11 2016 Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Zbl 1351.37153Xiao, Yuming; Long, Yiming 12 2015 Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric. Zbl 1330.53096Duan, Huagui; Long, Yiming; Xiao, Yuming 11 2015 Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. Zbl 1357.37083Liu, Hui; Long, Yiming 6 2015 Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian. Zbl 1343.70010Llibre, Jaume; Long, Yiming 5 2015 Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Zbl 1309.70011Zhou, Qinglong; Long, Yiming 3 2015 Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory. Zbl 1301.70007Hu, Xijun; Long, Yiming; Sun, Shanzhong 29 2014 Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\). Zbl 1347.37099Liu, Hui; Long, Yiming; Wang, Wei 12 2014 Non-hyperbolic closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1408.58010Liu, Hui; Long, Yiming; Wang, Wei 3 2014 Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\). Zbl 1329.52004Liu, Hui; Long, Yiming; Wang, Wei; Zhang, Ping’an 2 2014 A new class of problems in the calculus of variations. Zbl 1286.49025Ekeland, Ivar; Long, Yiming; Zhou, Qinglong 8 2013 Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Zbl 1321.37060Liu, Hui; Long, Yiming 7 2013 \(\omega\)-index theory and linear stability of elliptic Lagrangian solutions of the classical three-body problem. Zbl 1336.70026Long, Yiming 2 2012 The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040Bangert, Victor; Long, Yiming 61 2010 The index growth and multiplicity of closed geodesics. Zbl 1206.53043Duan, Huagui; Long, Yiming 29 2010 Linear stability of some symplectic matrices. Zbl 1200.37049Zhu, Gaosheng; Long, Yiming 3 2010 Multiple closed geodesics on 3-spheres. Zbl 1172.53027Long, Yiming; Duan, Huagui 32 2009 Stability of closed geodesics on Finsler 2-spheres. Zbl 1151.53037Long, Yiming; Wang, Wei 15 2008 Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. Zbl 1165.53052Duan, Huagui; Long, Yiming 10 2008 Collection of problems proposed at International Conference on Variational Methods. Zbl 1147.53002Long, Yiming 2 2008 Morse indices of closed geodesics on Katok’s 2-spheres. Zbl 1197.58003Long, Yiming; Wang, Wei 1 2008 Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces. Zbl 1139.58007Wang, Wei; Hu, Xijun; Long, Yiming 37 2007 Multiple closed geodesics on bumpy Finsler \(n\)-spheres. Zbl 1106.53048Duan, Huagui; Long, Yiming 29 2007 Multiple closed geodesics on Riemannian 3-spheres. Zbl 1125.58005Long, Yiming; Wang, Wei 11 2007 Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng 53 2006 Multiplicity and stability of closed geodesics on Finsler 2-spheres. Zbl 1099.53036Long, Yiming 27 2006 Index iteration theory for symplectic paths and multiple periodic solution orbits. Zbl 1222.37050Long, Yi-Ming 4 2006 Stability of closed characteristics on compact convex hypersurfaces. Zbl 1136.58009Long, Yiming; Wang, Wei 3 2006 Closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1109.37048Dong, Yujun; Long, Yiming 18 2004 Collinear central configurations and singular surfaces in the mass space. Zbl 1067.70010Long, Yiming; Sun, Shanzong 9 2004 Stable closed characteristics on partially symmetric convex hypersurfaces. Zbl 1108.37044Dong, Yujun; Long, Yiming 9 2004 Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions. Zbl 1073.53010Dong, Yujun; Long, Yiming 3 2004 Admissible shapes of 4-body non-collinear relative equilibria. Zbl 1106.70009Long, Yiming 8 2003 Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori. Zbl 1011.37038Long, Yiming; Lu, Guangcun 5 2003 Collinear central configurations in celestial mechanics. Zbl 1041.37042Long, Yiming; Sun, Shanzhong 3 2003 Index theory for symplectic paths with applications. Zbl 1012.37012Long, Yiming 219 2002 Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1028.53003Long, Yiming; Zhu, Chaofeng 109 2002 Four-body central configurations with some equal masses. Zbl 1033.70004Long, Yiming; Sun, Shanzhong 36 2002 Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1005.37030Liu, Chun-gen; Long, Yiming; Zhu, Chaofeng 31 2002 Iterated index formulae for closed geodesics with applications. Zbl 1054.53063Liu, Chungen; Long, Yiming 28 2002 Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\). Zbl 1099.37047Hu, Xijun; Long, Yiming 16 2002 Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. Zbl 1036.37020Long, Yiming 6 2002 Existence of nontrival homoclinic orbits in a class of Hamiltonian systems \(\ddot u-L(t)u+W_u^\prime(t,u)=0\). Zbl 1014.37039Li, Chengyue; Long, Yiming 2 2002 Criterion for \(\text{SL}(2,\mathbb{Z})\)-matrix to be conjugate to its inverse. Zbl 1022.20021Long, Yiming 1 2002 Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. Zbl 1109.35344Sun, Yijing; Wu, Shaoping; Long, Yiming 111 2001 Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Zbl 0970.37013Long, Yiming 70 2000 Maslov-type index theory for symplectic paths and spectral flow. II. Zbl 0959.58017Long, Yiming; Zhu, Chaofeng 41 2000 Iteration inequalities of the Maslov-type index theory with applications. Zbl 0961.37017Liu, Chungen; Long, Yiming 24 2000 Multiple periodic points of the Poincaré map of Lagrangian systems on tori. Zbl 0984.37074Long, Yiming 21 2000 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 0980.70009Long, Yiming; Zhang, Shiqing 16 2000 Periodic solutions for a class of nonautonomous Hamiltonian systems. Zbl 0960.37028Long, Yiming; Xu, Xiangjin 12 2000 Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. Zbl 0947.70009Long, Yiming; Zhang, Shiqing 11 2000 Normal forms of symplectic matrices. Zbl 0959.15008Long, Yiming; Dong, Di 9 2000 Dynamics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1193.37084Long, Yiming 3 2000 Bott formula of the Maslov-type index theory. Zbl 0924.58024Long, Yiming 87 1999 Maslov-type index theory for symplectic paths and spectral flow. I. Zbl 0959.58016Zhu, Chaofeng; Long, Yiming 40 1999 Hyperbolic characteristics on star-shaped hypersurfaces. Zbl 0988.37078Liu, Chungen; Long, Yiming 11 1999 Topological structures of \(\omega\)-subsets in symplectic groups. Zbl 0930.22001Long, Yiming 8 1999 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 1288.70007Long, Yiming; Zhang, Shiqing 3 1999 Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 0915.58032Long, Yiming 17 1998 Indexing domains of instability for Hamiltonian systems. Zbl 0915.58035Long, Yiming; An, Tianqing 14 1998 On the index theories for second order Hamiltonian systems. Zbl 0945.37018An, Tianqing; Long, Yiming 9 1998 Periodic solutions of second order nonlinear Hamiltonian systems with superquadratic potentials having zero mean value. Zbl 1062.37508Chen, Guoling; Long, Yiming 6 1998 An optimal increasing estimate of the iterated Maslov-type indices. Zbl 1002.53055Liu, Chungen; Long, Yiming 4 1998 A Maslov-type index theory for symplectic paths. Zbl 0977.53075Long, Yiming 43 1997 The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Zbl 0870.58024Dong, Di; Long, Yiming 42 1997 On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems. Zbl 0890.58069Long, Yiming 19 1997 Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Zbl 0824.34042Long, Yiming 52 1995 Geodesics in the compactly supported Hamiltonian diffeomorphism group. Zbl 0843.58022Long, Yiming 3 1995 The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems. Zbl 0804.34043Long, Yiming 37 1994 The minimal period problem of classical Hamiltonian systems with even potentials. Zbl 0804.58018Long, Yiming 35 1993 A note on the existence of multiple brake orbits. Zbl 0811.70015Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 21 1993 Estimates on the minimal period for periodic solutions to autonomous superquadratic second-order Hamiltonian systems. Zbl 1011.34030Long, Yiming 1 1992 The structure of the singular symplectic matrix set. Zbl 0746.15006Long, Yiming 12 1991 An unbounded solution of a superlinear Duffing’s equation. Zbl 0741.34015Long, Yiming 12 1991 Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Zbl 0736.58022Long, Yiming 96 1990 Periodic solutions of perturbed superquadratic Hamiltonian systems. Zbl 0724.34052Long, Yiming 12 1990 Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms. Zbl 0666.34045Long, Yiming 11 1990 Forced oscillations for the triple pendulum. Zbl 0723.70025Chang, Kung-Ching; Long, Yiming; Zehnder, Eduard 3 1990 Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Zbl 0676.34026Long, Yiming 49 1989 On the density of the range for some nonlinear operators. Zbl 0757.34034Long, Yiming 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 583 Authors 59 Long, Yiming 31 Hu, Xijun 31 Liu, Chungen 28 Liu, Hui 24 Wang, Wei 22 Zhang, Shiqing 21 Zhang, Duanzhi 19 Papageorgiou, Nikolaos S. 18 Tang, Chun-Lei 17 Duan, Huagui 13 Ginzburg, Viktor L’vovich 13 Portaluri, Alessandro 11 Wu, Li 11 Xie, Zhifu 11 Zhang, Xiaofei 10 Piccione, Paolo 10 Zhu, Chaofeng 9 Giannoni, Fabio 9 Gürel, Basak Zehra 9 Macarini, Leonardo 9 Shan, Yuan 8 Giambò, Roberto 8 Guo, Fei 8 Mazzucchelli, Marco 8 Ou, Yuwei 8 Yan, Duokui 7 An, Tianqing 7 Liao, Jiafeng 7 Llibre, Jaume 7 Lu, Guangcun 7 Santos, Carlos Alberto P. 7 Sun, Shanzhong 7 Zhou, Qinglong 6 Dong, Yujun 6 Fei, Guihua 6 Kang, Jungsoo 6 Ouyang, Tiancheng 6 Rademacher, Hans-Bert 6 Rădulescu, Vicenţiu D. 6 Schechter, Martin 6 Wang, Xing 6 Wu, Xingping 5 Cheng, Rong 5 Deng, Chunhua 5 Ding, Yanheng 5 Jiang, Meiyue 5 Lei, Chunyu 5 Li, Keqiang 5 Li, Yong 5 Repovš, Dušan D. 5 Santoprete, Manuele 5 Wang, Penghui 5 Wang, Yiqian 5 Xiao, Yuming 5 Yang, Xue 5 Zhao, Peihao 4 Abbondandolo, Alberto 4 Abreu, Miguel 4 Agarwal, Ravi P. 4 Bartsch, Thomas J. 4 Barutello, Vivina L. 4 Chen, Guanwei 4 Fan, Zhiping 4 Faraci, Francesca 4 Gutt, Jean 4 Han, Zhiqing 4 Hein, Doris 4 Li, Chun 4 Liu, Bowen 4 Liu, Lei 4 Ou, Zengqi 4 Saoudi, Kamel 4 Taimanov, Iskander Asanovich 4 Tang, Shanshan 4 Yang, Minbo 4 Yang, Ran 4 Zhang, Li 4 Zhao, Furong 4 Zhou, Benxing 4 Zhou, Qing 3 Asselle, Luca 3 Booss-Bavnbek, Bernhelm 3 Chen, Haibo 3 Corbera, Montserrat 3 Deng, Yanxia 3 Deng, Yiyang 3 Duong Trong Luyen 3 Gao, Wenjie 3 Gasiński, Leszek 3 Hryniewicz, Umberto L. 3 Hu, Tingting 3 Jiang, Yueyong 3 Kim, Soon-Kyu 3 Li, Qingwei 3 Li, Shujie 3 Li, Xiong 3 Li, Yongkun 3 Liu, Sai 3 Luyen, Duong Trong 3 Margheri, Alessandro ...and 483 more Authors all top 5 Cited in 160 Serials 71 Journal of Differential Equations 63 Journal of Mathematical Analysis and Applications 50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Calculus of Variations and Partial Differential Equations 24 Acta Mathematica Sinica. English Series 19 Discrete and Continuous Dynamical Systems 15 Frontiers of Mathematics in China 13 Boundary Value Problems 13 Science China. Mathematics 12 Advances in Mathematics 12 Journal of Functional Analysis 12 Mathematische Zeitschrift 12 Journal of Fixed Point Theory and Applications 11 Celestial Mechanics and Dynamical Astronomy 11 Advanced Nonlinear Studies 10 Archive for Rational Mechanics and Analysis 10 Journal of Mathematical Physics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Applied Mathematics Letters 9 Nonlinear Analysis. Theory, Methods & Applications 8 Nonlinearity 8 Journal of Geometry and Physics 7 Duke Mathematical Journal 7 Science in China. Series A 7 Abstract and Applied Analysis 6 Applicable Analysis 6 Communications in Mathematical Physics 6 Applied Mathematics and Computation 6 Qualitative Theory of Dynamical Systems 6 Complex Variables and Elliptic Equations 5 Rocky Mountain Journal of Mathematics 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Chinese Annals of Mathematics. Series B 5 International Journal of Mathematics 5 Journal of Dynamics and Differential Equations 5 Regular and Chaotic Dynamics 5 Communications on Pure and Applied Analysis 5 Advances in Difference Equations 5 Electronic Research Archive 4 Acta Applicandae Mathematicae 4 Journal of Inequalities and Applications 4 Communications in Contemporary Mathematics 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Mediterranean Journal of Mathematics 3 Computers & Mathematics with Applications 3 Israel Journal of Mathematics 3 Archiv der Mathematik 3 Annals of Global Analysis and Geometry 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Positivity 3 Nonlinear Analysis. Real World Applications 3 Portugaliae Mathematica. Nova Série 3 Advances in Nonlinear Analysis 3 Journal of Function Spaces 2 Communications on Pure and Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Anais da Academia Brasileira de Ciências 2 Compositio Mathematica 2 Journal of Optimization Theory and Applications 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Ergodic Theory and Dynamical Systems 2 Zeitschrift für Analysis und ihre Anwendungen 2 Mathematical and Computer Modelling 2 Differential Geometry and its Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Chinese Science Bulletin 2 Georgian Mathematical Journal 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Algebraic & Geometric Topology 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Analysis and Mathematical Physics 2 Journal of Applied Analysis and Computation 2 AIMS Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Inventiones Mathematicae ...and 60 more Serials all top 5 Cited in 35 Fields 321 Dynamical systems and ergodic theory (37-XX) 246 Ordinary differential equations (34-XX) 211 Global analysis, analysis on manifolds (58-XX) 186 Mechanics of particles and systems (70-XX) 170 Differential geometry (53-XX) 153 Partial differential equations (35-XX) 57 Operator theory (47-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 18 Convex and discrete geometry (52-XX) 12 Manifolds and cell complexes (57-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Difference and functional equations (39-XX) 9 Algebraic topology (55-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Fluid mechanics (76-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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