## Long, Yiming

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 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
 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 949 Co-Co-Authors
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### 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
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### 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)

### Citations contained in zbMATH Open

96 Publications have been cited 1,875 times in 678 Documents Cited by Year
Index theory for symplectic paths with applications. Zbl 1012.37012
Long, Yiming
2002
Closed characteristics on compact convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1028.53003
Long, Yiming; Zhu, Chaofeng
2002
Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. Zbl 1109.35344
Sun, Yijing; Wu, Shaoping; Long, Yiming
2001
Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Zbl 0736.58022
Long, Yiming
1990
Bott formula of the Maslov-type index theory. Zbl 0924.58024
Long, Yiming
1999
Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Zbl 0970.37013
Long, Yiming
2000
The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040
Bangert, Victor; Long, Yiming
2010
Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006
Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng
2006
Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Zbl 0824.34042
Long, Yiming
1995
Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Zbl 0676.34026
Long, Yiming
1989
The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Zbl 0870.58024
Dong, Di; Long, Yiming
1997
A Maslov-type index theory for symplectic paths. Zbl 0977.53075
Long, Yiming
1997
Maslov-type index theory for symplectic paths and spectral flow. II. Zbl 0959.58017
Long, Yiming; Zhu, Chaofeng
2000
Maslov-type index theory for symplectic paths and spectral flow. I. Zbl 0959.58016
Zhu, Chaofeng; Long, Yiming
1999
Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces. Zbl 1139.58007
Wang, Wei; Hu, Xijun; Long, Yiming
2007
The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems. Zbl 0804.34043
Long, Yiming
1994
Four-body central configurations with some equal masses. Zbl 1033.70004
Long, Yiming; Sun, Shanzhong
2002
The minimal period problem of classical Hamiltonian systems with even potentials. Zbl 0804.58018
Long, Yiming
1993
Multiple closed geodesics on 3-spheres. Zbl 1172.53027
Long, Yiming; Duan, Huagui
2009
Multiplicity of closed characteristics on symmetric convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1005.37030
Liu, Chun-gen; Long, Yiming; Zhu, Chaofeng
2002
Multiple closed geodesics on bumpy Finsler $$n$$-spheres. Zbl 1106.53048
Duan, Huagui; Long, Yiming
2007
Iterated index formulae for closed geodesics with applications. Zbl 1054.53063
Liu, Chungen; Long, Yiming
2002
Multiplicity and stability of closed geodesics on Finsler 2-spheres. Zbl 1099.53036
Long, Yiming
2006
The index growth and multiplicity of closed geodesics. Zbl 1206.53043
Duan, Huagui; Long, Yiming
2010
Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory. Zbl 1301.70007
Hu, Xijun; Long, Yiming; Sun, Shanzhong
2014
Iteration inequalities of the Maslov-type index theory with applications. Zbl 0961.37017
Liu, Chungen; Long, Yiming
2000
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
1993
Multiple periodic points of the Poincaré map of Lagrangian systems on tori. Zbl 0984.37074
Long, Yiming
2000
Closed characteristics on partially symmetric compact convex hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1109.37048
Dong, Yujun; Long, Yiming
2004
On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems. Zbl 0890.58069
Long, Yiming
1997
Hyperbolic closed characteristics on compact convex smooth hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 0915.58032
Long, Yiming
1998
Two closed geodesics on compact simply connected bumpy Finsler manifolds. Zbl 1357.53086
Duan, Huagui; Long, Yiming; Wang, Wei
2016
Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 0980.70009
Long, Yiming; Zhang, Shiqing
2000
The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. Zbl 1381.53071
Duan, Huagui; Long, Yiming; Wang, Wei
2016
Closed characteristics on non-degenerate star-shaped hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1099.37047
Hu, Xijun; Long, Yiming
2002
Stability of closed geodesics on Finsler 2-spheres. Zbl 1151.53037
Long, Yiming; Wang, Wei
2008
Indexing domains of instability for Hamiltonian systems. Zbl 0915.58035
Long, Yiming; An, Tianqing
1998
Periodic solutions for a class of nonautonomous Hamiltonian systems. Zbl 0960.37028
Long, Yiming; Xu, Xiangjin
2000
An unbounded solution of a superlinear Duffing’s equation. Zbl 0741.34015
Long, Yiming
1991
Periodic solutions of perturbed superquadratic Hamiltonian systems. Zbl 0724.34052
Long, Yiming
1990
Resonance identities for closed characteristics on compact star-shaped hypersurfaces in $$\mathbf R^{2n}$$. Zbl 1347.37099
Liu, Hui; Long, Yiming; Wang, Wei
2014
Hyperbolic characteristics on star-shaped hypersurfaces. Zbl 0988.37078
Liu, Chungen; Long, Yiming
1999
Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. Zbl 0947.70009
Long, Yiming; Zhang, Shiqing
2000
Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms. Zbl 0666.34045
Long, Yiming
1990
The structure of the singular symplectic matrix set. Zbl 0746.15006
Long, Yiming
1991
The existence of two closed characteristics on every compact star-shaped hypersurface in $$\mathbb{R}^{4}$$. Zbl 1338.58008
Liu, Hui; Long, Yi Ming
2016
Multiple closed geodesics on Riemannian 3-spheres. Zbl 1125.58005
Long, Yiming; Wang, Wei
2007
Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. Zbl 1165.53052
Duan, Huagui; Long, Yiming
2008
Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Zbl 1351.37153
Xiao, Yuming; Long, Yiming
2015
Normal forms of symplectic matrices. Zbl 0959.15008
Long, Yiming; Dong, Di
2000
Stable closed characteristics on partially symmetric convex hypersurfaces. Zbl 1108.37044
Dong, Yujun; Long, Yiming
2004
On the index theories for second order Hamiltonian systems. Zbl 0945.37018
An, Tianqing; Long, Yiming
1998
Two closed geodesics on $$\mathbb RP^{2n+1}$$ with a bumpy Finsler metric. Zbl 1330.53096
Duan, Huagui; Long, Yiming; Xiao, Yuming
2015
Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. Zbl 1382.35293
Zhou, Qinglong; Long, Yiming
2017
Collinear central configurations and singular surfaces in the mass space. Zbl 1067.70010
Long, Yiming; Sun, Shanzong
2004
Admissible shapes of 4-body non-collinear relative equilibria. Zbl 1106.70009
Long, Yiming
2003
Topological structures of $$\omega$$-subsets in symplectic groups. Zbl 0930.22001
Long, Yiming
1999
Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1383.58007
Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei
2018
Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Zbl 1321.37060
Liu, Hui; Long, Yiming
2013
A new class of problems in the calculus of variations. Zbl 1286.49025
Ekeland, Ivar; Long, Yiming; Zhou, Qinglong
2013
Periodic solutions of second order nonlinear Hamiltonian systems with superquadratic potentials having zero mean value. Zbl 1062.37508
Chen, Guoling; Long, Yiming
1998
Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. Zbl 1357.37083
Liu, Hui; Long, Yiming
2015
Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. Zbl 1036.37020
Long, Yiming
2002
Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori. Zbl 1011.37038
Long, Yiming; Lu, Guangcun
2003
Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian. Zbl 1343.70010
Llibre, Jaume; Long, Yiming
2015
The reduction of the linear stability of elliptic Euler-Moulton solutions of the $$n$$-body problem to those of 3-body problems. Zbl 1365.70012
Zhou, Qinglong; Long, Yiming
2017
The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. Zbl 1423.53053
Liu, Hui; Long, Yiming; Xiao, Yuming
2018
Index iteration theory for symplectic paths and multiple periodic solution orbits. Zbl 1222.37050
Long, Yi-Ming
2006
Linear stability of the elliptic relative equilibrium with $$(1 + n)$$-gon central configurations in planar $$n$$-body problem. Zbl 1437.37066
Hu, Xijun; Long, Yiming; Ou, Yuwei
2020
Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability. Zbl 1412.35244
Long, Yiming; Wang, Yuchen; Zeng, Chongchun
2019
Dynamics on compact convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1193.37084
Long, Yiming
2000
Geodesics in the compactly supported Hamiltonian diffeomorphism group. Zbl 0843.58022
Long, Yiming
1995
An optimal increasing estimate of the iterated Maslov-type indices. Zbl 1002.53055
Liu, Chungen; Long, Yiming
1998
Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 1288.70007
Long, Yiming; Zhang, Shiqing
1999
Closed characteristics on asymmetric convex hypersurfaces in $$\mathbb{R}^{2n}$$ and the corresponding pinching conditions. Zbl 1073.53010
Dong, Yujun; Long, Yiming
2004
Linear stability of some symplectic matrices. Zbl 1200.37049
Zhu, Gaosheng; Long, Yiming
2010
Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Zbl 1309.70011
Zhou, Qinglong; Long, Yiming
2015
Stability of closed characteristics on compact convex hypersurfaces. Zbl 1136.58009
Long, Yiming; Wang, Wei
2006
Forced oscillations for the triple pendulum. Zbl 0723.70025
Chang, Kung-Ching; Long, Yiming; Zehnder, Eduard
1990
Non-hyperbolic closed characteristics on symmetric compact convex hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1408.58010
Liu, Hui; Long, Yiming; Wang, Wei
2014
Index iteration theory for brake orbit type solutions and applications. Zbl 1488.37044
Liu, Chungen; Long, Yiming; Zhang, Duanzhi
2021
Collection of problems proposed at International Conference on Variational Methods. Zbl 1147.53002
Long, Yiming
2008
Collinear central configurations in celestial mechanics. Zbl 1041.37042
Long, Yiming; Sun, Shanzhong
2003
Existence of nontrival homoclinic orbits in a class of Hamiltonian systems $$\ddot u-L(t)u+W_u^\prime(t,u)=0$$. Zbl 1014.37039
Li, Chengyue; Long, Yiming
2002
$$\omega$$-index theory and linear stability of elliptic Lagrangian solutions of the classical three-body problem. Zbl 1336.70026
Long, Yiming
2012
Symmetric closed characteristics on symmetric compact convex hypersurfaces in $$\mathbb{R}^8$$. Zbl 1329.52004
Liu, Hui; Long, Yiming; Wang, Wei; Zhang, Ping’an
2014
A new index theory for $$\mathrm{GL}^{+}(2)$$-paths with applications to asymptotically linear systems. Zbl 1360.58009
Liu, Sai; Long, Yiming
2017
Solutions of the generalized Lennard-Jones system. Zbl 1383.34021
Liu, Bowen; Long, Yiming; Zeng, Chongchun
2018
Morse indices of closed geodesics on Katok’s 2-spheres. Zbl 1197.58003
Long, Yiming; Wang, Wei
2008
Criterion for $$\text{SL}(2,\mathbb{Z})$$-matrix to be conjugate to its inverse. Zbl 1022.20021
Long, Yiming
2002
On the density of the range for some nonlinear operators. Zbl 0757.34034
Long, Yiming
1989
Estimates on the minimal period for periodic solutions to autonomous superquadratic second-order Hamiltonian systems. Zbl 1011.34030
Long, Yiming
1992
Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in $$\mathbf{R}^{4}$$. Zbl 1365.58008
Liu, Hui; Long, Yiming
2017
On bifurcation of eigenvalues along convex symplectic paths. Zbl 1409.37058
Chang, Yinshan; Long, Yiming; Wang, Jian
2019
The Rabinowitz minimal periodic solution conjecture. Zbl 07456328
Long, Yiming
2021
Index iteration theories for periodic orbits: old and new. Zbl 1457.37082
Duan, Huagui; Long, Yiming; Zhu, Chaofeng
2020
Index iteration theory for brake orbit type solutions and applications. Zbl 1488.37044
Liu, Chungen; Long, Yiming; Zhang, Duanzhi
2021
The Rabinowitz minimal periodic solution conjecture. Zbl 07456328
Long, Yiming
2021
Linear stability of the elliptic relative equilibrium with $$(1 + n)$$-gon central configurations in planar $$n$$-body problem. Zbl 1437.37066
Hu, Xijun; Long, Yiming; Ou, Yuwei
2020
Index iteration theories for periodic orbits: old and new. Zbl 1457.37082
Duan, Huagui; Long, Yiming; Zhu, Chaofeng
2020
Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability. Zbl 1412.35244
Long, Yiming; Wang, Yuchen; Zeng, Chongchun
2019
On bifurcation of eigenvalues along convex symplectic paths. Zbl 1409.37058
Chang, Yinshan; Long, Yiming; Wang, Jian
2019
Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1383.58007
Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei
2018
The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. Zbl 1423.53053
Liu, Hui; Long, Yiming; Xiao, Yuming
2018
Solutions of the generalized Lennard-Jones system. Zbl 1383.34021
Liu, Bowen; Long, Yiming; Zeng, Chongchun
2018
Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. Zbl 1382.35293
Zhou, Qinglong; Long, Yiming
2017
The reduction of the linear stability of elliptic Euler-Moulton solutions of the $$n$$-body problem to those of 3-body problems. Zbl 1365.70012
Zhou, Qinglong; Long, Yiming
2017
A new index theory for $$\mathrm{GL}^{+}(2)$$-paths with applications to asymptotically linear systems. Zbl 1360.58009
Liu, Sai; Long, Yiming
2017
Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in $$\mathbf{R}^{4}$$. Zbl 1365.58008
Liu, Hui; Long, Yiming
2017
Two closed geodesics on compact simply connected bumpy Finsler manifolds. Zbl 1357.53086
Duan, Huagui; Long, Yiming; Wang, Wei
2016
The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. Zbl 1381.53071
Duan, Huagui; Long, Yiming; Wang, Wei
2016
The existence of two closed characteristics on every compact star-shaped hypersurface in $$\mathbb{R}^{4}$$. Zbl 1338.58008
Liu, Hui; Long, Yi Ming
2016
Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Zbl 1351.37153
Xiao, Yuming; Long, Yiming
2015
Two closed geodesics on $$\mathbb RP^{2n+1}$$ with a bumpy Finsler metric. Zbl 1330.53096
Duan, Huagui; Long, Yiming; Xiao, Yuming
2015
Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. Zbl 1357.37083
Liu, Hui; Long, Yiming
2015
Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian. Zbl 1343.70010
Llibre, Jaume; Long, Yiming
2015
Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Zbl 1309.70011
Zhou, Qinglong; Long, Yiming
2015
Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory. Zbl 1301.70007
Hu, Xijun; Long, Yiming; Sun, Shanzhong
2014
Resonance identities for closed characteristics on compact star-shaped hypersurfaces in $$\mathbf R^{2n}$$. Zbl 1347.37099
Liu, Hui; Long, Yiming; Wang, Wei
2014
Non-hyperbolic closed characteristics on symmetric compact convex hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1408.58010
Liu, Hui; Long, Yiming; Wang, Wei
2014
Symmetric closed characteristics on symmetric compact convex hypersurfaces in $$\mathbb{R}^8$$. Zbl 1329.52004
Liu, Hui; Long, Yiming; Wang, Wei; Zhang, Ping&rsquo;an
2014
Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Zbl 1321.37060
Liu, Hui; Long, Yiming
2013
A new class of problems in the calculus of variations. Zbl 1286.49025
Ekeland, Ivar; Long, Yiming; Zhou, Qinglong
2013
$$\omega$$-index theory and linear stability of elliptic Lagrangian solutions of the classical three-body problem. Zbl 1336.70026
Long, Yiming
2012
The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040
Bangert, Victor; Long, Yiming
2010
The index growth and multiplicity of closed geodesics. Zbl 1206.53043
Duan, Huagui; Long, Yiming
2010
Linear stability of some symplectic matrices. Zbl 1200.37049
Zhu, Gaosheng; Long, Yiming
2010
Multiple closed geodesics on 3-spheres. Zbl 1172.53027
Long, Yiming; Duan, Huagui
2009
Stability of closed geodesics on Finsler 2-spheres. Zbl 1151.53037
Long, Yiming; Wang, Wei
2008
Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. Zbl 1165.53052
Duan, Huagui; Long, Yiming
2008
Collection of problems proposed at International Conference on Variational Methods. Zbl 1147.53002
Long, Yiming
2008
Morse indices of closed geodesics on Katok’s 2-spheres. Zbl 1197.58003
Long, Yiming; Wang, Wei
2008
Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces. Zbl 1139.58007
Wang, Wei; Hu, Xijun; Long, Yiming
2007
Multiple closed geodesics on bumpy Finsler $$n$$-spheres. Zbl 1106.53048
Duan, Huagui; Long, Yiming
2007
Multiple closed geodesics on Riemannian 3-spheres. Zbl 1125.58005
Long, Yiming; Wang, Wei
2007
Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006
Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng
2006
Multiplicity and stability of closed geodesics on Finsler 2-spheres. Zbl 1099.53036
Long, Yiming
2006
Index iteration theory for symplectic paths and multiple periodic solution orbits. Zbl 1222.37050
Long, Yi-Ming
2006
Stability of closed characteristics on compact convex hypersurfaces. Zbl 1136.58009
Long, Yiming; Wang, Wei
2006
Closed characteristics on partially symmetric compact convex hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1109.37048
Dong, Yujun; Long, Yiming
2004
Stable closed characteristics on partially symmetric convex hypersurfaces. Zbl 1108.37044
Dong, Yujun; Long, Yiming
2004
Collinear central configurations and singular surfaces in the mass space. Zbl 1067.70010
Long, Yiming; Sun, Shanzong
2004
Closed characteristics on asymmetric convex hypersurfaces in $$\mathbb{R}^{2n}$$ and the corresponding pinching conditions. Zbl 1073.53010
Dong, Yujun; Long, Yiming
2004
Admissible shapes of 4-body non-collinear relative equilibria. Zbl 1106.70009
Long, Yiming
2003
Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori. Zbl 1011.37038
Long, Yiming; Lu, Guangcun
2003
Collinear central configurations in celestial mechanics. Zbl 1041.37042
Long, Yiming; Sun, Shanzhong
2003
Index theory for symplectic paths with applications. Zbl 1012.37012
Long, Yiming
2002
Closed characteristics on compact convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1028.53003
Long, Yiming; Zhu, Chaofeng
2002
Four-body central configurations with some equal masses. Zbl 1033.70004
Long, Yiming; Sun, Shanzhong
2002
Multiplicity of closed characteristics on symmetric convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1005.37030
Liu, Chun-gen; Long, Yiming; Zhu, Chaofeng
2002
Iterated index formulae for closed geodesics with applications. Zbl 1054.53063
Liu, Chungen; Long, Yiming
2002
Closed characteristics on non-degenerate star-shaped hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1099.37047
Hu, Xijun; Long, Yiming
2002
Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. Zbl 1036.37020
Long, Yiming
2002
Existence of nontrival homoclinic orbits in a class of Hamiltonian systems $$\ddot u-L(t)u+W_u^\prime(t,u)=0$$. Zbl 1014.37039
Li, Chengyue; Long, Yiming
2002
Criterion for $$\text{SL}(2,\mathbb{Z})$$-matrix to be conjugate to its inverse. Zbl 1022.20021
Long, Yiming
2002
Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. Zbl 1109.35344
Sun, Yijing; Wu, Shaoping; Long, Yiming
2001
Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Zbl 0970.37013
Long, Yiming
2000
Maslov-type index theory for symplectic paths and spectral flow. II. Zbl 0959.58017
Long, Yiming; Zhu, Chaofeng
2000
Iteration inequalities of the Maslov-type index theory with applications. Zbl 0961.37017
Liu, Chungen; Long, Yiming
2000
Multiple periodic points of the Poincaré map of Lagrangian systems on tori. Zbl 0984.37074
Long, Yiming
2000
Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 0980.70009
Long, Yiming; Zhang, Shiqing
2000
Periodic solutions for a class of nonautonomous Hamiltonian systems. Zbl 0960.37028
Long, Yiming; Xu, Xiangjin
2000
Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. Zbl 0947.70009
Long, Yiming; Zhang, Shiqing
2000
Normal forms of symplectic matrices. Zbl 0959.15008
Long, Yiming; Dong, Di
2000
Dynamics on compact convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1193.37084
Long, Yiming
2000
Bott formula of the Maslov-type index theory. Zbl 0924.58024
Long, Yiming
1999
Maslov-type index theory for symplectic paths and spectral flow. I. Zbl 0959.58016
Zhu, Chaofeng; Long, Yiming
1999
Hyperbolic characteristics on star-shaped hypersurfaces. Zbl 0988.37078
Liu, Chungen; Long, Yiming
1999
Topological structures of $$\omega$$-subsets in symplectic groups. Zbl 0930.22001
Long, Yiming
1999
Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 1288.70007
Long, Yiming; Zhang, Shiqing
1999
Hyperbolic closed characteristics on compact convex smooth hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 0915.58032
Long, Yiming
1998
Indexing domains of instability for Hamiltonian systems. Zbl 0915.58035
Long, Yiming; An, Tianqing
1998
On the index theories for second order Hamiltonian systems. Zbl 0945.37018
An, Tianqing; Long, Yiming
1998
Periodic solutions of second order nonlinear Hamiltonian systems with superquadratic potentials having zero mean value. Zbl 1062.37508
Chen, Guoling; Long, Yiming
1998
An optimal increasing estimate of the iterated Maslov-type indices. Zbl 1002.53055
Liu, Chungen; Long, Yiming
1998
The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Zbl 0870.58024
Dong, Di; Long, Yiming
1997
A Maslov-type index theory for symplectic paths. Zbl 0977.53075
Long, Yiming
1997
On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems. Zbl 0890.58069
Long, Yiming
1997
Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Zbl 0824.34042
Long, Yiming
1995
Geodesics in the compactly supported Hamiltonian diffeomorphism group. Zbl 0843.58022
Long, Yiming
1995
The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems. Zbl 0804.34043
Long, Yiming
1994
The minimal period problem of classical Hamiltonian systems with even potentials. Zbl 0804.58018
Long, Yiming
1993
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
1993
Estimates on the minimal period for periodic solutions to autonomous superquadratic second-order Hamiltonian systems. Zbl 1011.34030
Long, Yiming
1992
An unbounded solution of a superlinear Duffing’s equation. Zbl 0741.34015
Long, Yiming
1991
The structure of the singular symplectic matrix set. Zbl 0746.15006
Long, Yiming
1991
Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Zbl 0736.58022
Long, Yiming
1990
Periodic solutions of perturbed superquadratic Hamiltonian systems. Zbl 0724.34052
Long, Yiming
1990
Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms. Zbl 0666.34045
Long, Yiming
1990
Forced oscillations for the triple pendulum. Zbl 0723.70025
Chang, Kung-Ching; Long, Yiming; Zehnder, Eduard
1990
Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Zbl 0676.34026
Long, Yiming
1989
On the density of the range for some nonlinear operators. Zbl 0757.34034
Long, Yiming
1989
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### Cited by 536 Authors

 59 Long, Yiming 31 Hu, Xijun 31 Liu, Chungen 23 Wang, Wei 22 Zhang, Shiqing 19 Zhang, Duanzhi 18 Papageorgiou, Nikolaos S. 16 Duan, Huagui 16 Liu, Hui 13 Ginzburg, Viktor L’vovich 13 Portaluri, Alessandro 12 Tang, Chun-Lei 11 Wu, Li 10 Piccione, Paolo 10 Xie, Zhifu 10 Zhang, Xiaofei 9 Giannoni, Fabio 9 Gürel, Basak Zehra 9 Macarini, Leonardo 9 Zhu, Chaofeng 8 Giambò, Roberto 8 Mazzucchelli, Marco 8 Ou, Yuwei 8 Shan, Yuan 8 Yan, Duokui 7 An, Tianqing 7 Guo, Fei 7 Liao, Jiafeng 7 Llibre, Jaume 7 Sun, Shanzhong 6 Dong, Yujun 6 Fei, Guihua 6 Lu, Guangcun 6 Ouyang, Tiancheng 6 Rădulescu, Vicenţiu D. 6 Santos, Carlos Alberto P. 6 Schechter, Martin 6 Wang, Xing 6 Wu, Xingping 6 Zhou, Qinglong 5 Cheng, Rong 5 Deng, Chunhua 5 Ding, Yanheng 5 Jiang, Meiyue 5 Kang, Jungsoo 5 Lei, Chunyu 5 Li, Keqiang 5 Rademacher, Hans-Bert 5 Repovš, Dušan D. 5 Santoprete, Manuele 5 Wang, Penghui 5 Wang, Yiqian 5 Xiao, Yuming 5 Zhao, Peihao 4 Abreu, Miguel 4 Agarwal, Ravi P. 4 Bartsch, Thomas J. 4 Barutello, Vivina L. 4 Chen, Guanwei 4 Faraci, Francesca 4 Gutt, Jean 4 Han, Zhiqing 4 Hein, Doris 4 Li, Chun 4 Li, Yong 4 Liu, Bowen 4 Ou, Zengqi 4 Saoudi, Kamel 4 Taimanov, Iskander Asanovich 4 Tang, Shanshan 4 Yang, Minbo 4 Yang, Ran 4 Yang, Xue 4 Zhao, Furong 4 Zhou, Benxing 4 Zhou, Qing 3 Abbondandolo, Alberto 3 Asselle, Luca 3 Booss-Bavnbek, Bernhelm 3 Corbera, Montserrat 3 Deng, Yanxia 3 Duong Trong Luyen 3 Fan, Zhiping 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 Margheri, Alessandro 3 Marín-Solano, Jesús 3 Nguyễn Minh Trí 3 Offin, Daniel C. 3 Pérez-Chavela, Ernesto 3 Polekhin, Ivan Yu. ...and 436 more Authors
all top 5

### Cited in 153 Serials

 66 Journal of Differential Equations 62 Journal of Mathematical Analysis and Applications 50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Calculus of Variations and Partial Differential Equations 24 Acta Mathematica Sinica. English Series 19 Discrete and Continuous Dynamical Systems 14 Frontiers of Mathematics in China 13 Science China. Mathematics 12 Advances in Mathematics 12 Mathematische Zeitschrift 12 Boundary Value Problems 12 Journal of Fixed Point Theory and Applications 11 Journal of Functional Analysis 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 Science in China. Series A 7 Abstract and Applied Analysis 6 Communications in Mathematical Physics 6 Applied Mathematics and Computation 6 Duke Mathematical Journal 6 Complex Variables and Elliptic Equations 5 Applicable Analysis 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 Qualitative Theory of Dynamical Systems 5 Communications on Pure and Applied Analysis 5 Advances in Difference Equations 4 Acta Applicandae Mathematicae 4 Journal of Inequalities and Applications 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 Communications in Contemporary Mathematics 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 Anais da Academia Brasileira de Ciências 2 Compositio Mathematica 2 Journal of Optimization Theory and Applications 2 Mathematical and Computer Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Chinese Science Bulletin 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 Mathematical Bulletin 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Transactions of the Moscow Mathematical Society 1 Ergodic Theory and Dynamical Systems ...and 53 more Serials
all top 5

### Cited in 34 Fields

 311 Dynamical systems and ergodic theory (37-XX) 239 Ordinary differential equations (34-XX) 204 Global analysis, analysis on manifolds (58-XX) 179 Mechanics of particles and systems (70-XX) 161 Differential geometry (53-XX) 142 Partial differential equations (35-XX) 56 Operator theory (47-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 17 Convex and discrete geometry (52-XX) 10 Manifolds and cell complexes (57-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Difference and functional equations (39-XX) 7 Algebraic topology (55-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Mechanics of deformable solids (74-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 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 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX)

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