-
1
-
-
0032210058
-
On the index theories for second order Hamiltonian systems
-
T. An and Y. Long, On the index theories for second order Hamiltonian systems, Nonlinear Anal. Theory Methods Appl. 34 (1998), 585-592.
-
(1998)
Nonlinear Anal. Theory Methods Appl.
, vol.34
, pp. 585-592
-
-
An, T.1
Long, Y.2
-
2
-
-
84980073426
-
On the iteration of closed geodesics and the sturm intersection theory
-
R. Bott, On the iteration of closed geodesics and the sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171-206.
-
(1956)
Comm. Pure Appl. Math.
, vol.9
, pp. 171-206
-
-
Bott, R.1
-
4
-
-
84990569659
-
Maslov-type index theory for flows and periodic solutions for Hamiltonian equations
-
C. Conley and E. Zehnder, Maslov-type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math. 37 (1984), 207-253.
-
(1984)
Comm. Pure Appl. Math.
, vol.37
, pp. 207-253
-
-
Conley, C.1
Zehnder, E.2
-
5
-
-
33646876246
-
The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
-
D. Dong and Y. Long, The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems, Trans. Amer. Math. Soc. 349 (1997), 2619-2661.
-
(1997)
Trans. Amer. Math. Soc.
, vol.349
, pp. 2619-2661
-
-
Dong, D.1
Long, Y.2
-
7
-
-
0000279054
-
Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
-
I. Ekeland and H. Hofer, Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems, Invent. Math. 81 (1985), 155-188.
-
(1985)
Invent. Math.
, vol.81
, pp. 155-188
-
-
Ekeland, I.1
Hofer, H.2
-
8
-
-
0030269355
-
Minimal period solutions of nonlinear Hamiltonian systems
-
G. Fei and Q. Qiu, Minimal period solutions of nonlinear Hamiltonian systems, Nonlinear Anal. T.M.A. 27 (1996), 821-839.
-
(1996)
Nonlinear Anal. T.M.A.
, vol.27
, pp. 821-839
-
-
Fei, G.1
Qiu, Q.2
-
10
-
-
0042886151
-
Periodic solutions of convex Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity
-
M. Girardi and M. Matzeu, Periodic solutions of convex Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity, Ann. Mat. Pura Appl. 147 (1987), 21-72.
-
(1987)
Ann. Mat. Pura Appl.
, vol.147
, pp. 21-72
-
-
Girardi, M.1
Matzeu, M.2
-
12
-
-
0002278962
-
Hyperbolic characteristics on star-shaped hypersurfaces
-
C. Liu and Y. Long, Hyperbolic characteristics on star-shaped hypersurfaces, Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), 725-746.
-
(1999)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.16
, pp. 725-746
-
-
Liu, C.1
Long, Y.2
-
13
-
-
0001745414
-
An optimal increasing estimate of the iterated Maslov-type indices
-
C. Liu and Y. Long, An optimal increasing estimate of the iterated Maslov-type indices, Chinese Sci. Bull. 42 (1997), 2275-2277.
-
(1997)
Chinese Sci. Bull.
, vol.42
, pp. 2275-2277
-
-
Liu, C.1
Long, Y.2
-
14
-
-
0001630228
-
Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
-
Y. Long, Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems, Scientia Sinica Ser. A 33 (1990), 1409-1419.
-
(1990)
Scientia Sinica Ser. A
, vol.33
, pp. 1409-1419
-
-
Long, Y.1
-
15
-
-
85012273335
-
The minimal period problem of classical Hamiltonian systems with even potentials
-
Y. Long, The minimal period problem of classical Hamiltonian systems with even potentials, Ann. Inst. H. Poincaré Anal. Non Linéaire 10, No. 6 (1993), 605-626.
-
(1993)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.10
, Issue.6
, pp. 605-626
-
-
Long, Y.1
-
16
-
-
33646889177
-
The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
-
Y. Long, The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems, J. Differential Equations 111 (1994), 147-174.
-
(1994)
J. Differential Equations
, vol.111
, pp. 147-174
-
-
Long, Y.1
-
17
-
-
21944450086
-
On the minimal period for periodic solution problem of nonlinear Hamiltonian systems
-
Y. Long, On the minimal period for periodic solution problem of nonlinear Hamiltonian systems, Chinese Ann. Math. Ser. B 18 (1997), 481-484.
-
(1997)
Chinese Ann. Math. Ser. B
, vol.18
, pp. 481-484
-
-
Long, Y.1
-
18
-
-
0003166967
-
A Maslov-type index theory for symplectic paths
-
Y. Long, A Maslov-type index theory for symplectic paths, Topol. Methods Nonlinear Anal. 10 (1997), 47-78.
-
(1997)
Topol. Methods Nonlinear Anal.
, vol.10
, pp. 47-78
-
-
Long, Y.1
-
19
-
-
0001496478
-
Bott formulae of the Maslov-type index theory
-
Preprint Series, No. 1996-M-001, revised
-
Y. Long, Bott formulae of the Maslov-type index theory, Nankai Inst. of Math, Preprint Series, No. 1996-M-001, 1995, revised 1997; Pacific J. Math. 187 (1999), 113-149.
-
(1995)
Nankai Inst. of Math
-
-
Long, Y.1
-
20
-
-
0001496478
-
-
Y. Long, Bott formulae of the Maslov-type index theory, Nankai Inst. of Math, Preprint Series, No. 1996-M-001, 1995, revised 1997; Pacific J. Math. 187 (1999), 113-149.
-
(1999)
Pacific J. Math.
, vol.187
, pp. 113-149
-
-
-
23
-
-
0034347313
-
Multiple periodic points of the Poincaré map of Lagrangian systems on tori
-
Y. Long, Multiple periodic points of the Poincaré map of Lagrangian systems on tori, Math. Z. 233 (2000), 443-470.
-
(2000)
Math. Z.
, vol.233
, pp. 443-470
-
-
Long, Y.1
-
24
-
-
0000850691
-
Indexing domains of instability for Hamiltonian systems
-
Y. Long and T. An, Indexing domains of instability for Hamiltonian systems, Nonlinear Differential Equations Appl. 5 (1998), 461-478.
-
(1998)
Nonlinear Differential Equations Appl.
, vol.5
, pp. 461-478
-
-
Long, Y.1
An, T.2
-
25
-
-
0002182215
-
Morse theory for forced oscillations of asymptotically linear Hamiltonian systems
-
(S. Albeverio et al., Eds.), World Scientific, Singapore
-
Y. Long and E. Zehnder, Morse theory for forced oscillations of asymptotically linear Hamiltonian systems, in "Stocastics, Proceedings Physics and Geometry" (S. Albeverio et al., Eds.), pp. 528-563, World Scientific, Singapore, 1990.
-
(1990)
Stocastics, Proceedings Physics and Geometry
, pp. 528-563
-
-
Long, Y.1
Zehnder, E.2
-
26
-
-
84980196930
-
Periodic solutions of Hamiltonian systems
-
P. Rabinowitz, Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 31 (1978), 157-184.
-
(1978)
Comm. Pure Appl. Math.
, vol.31
, pp. 157-184
-
-
Rabinowitz, P.1
-
27
-
-
0001901435
-
Minimax methods in critical point theory with applications to differential equations
-
P. H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conf. Ser. Math. 65 (1986).
-
(1986)
CBMS Regional Conf. Ser. Math.
, vol.65
-
-
Rabinowitz, P.H.1
-
28
-
-
84972538152
-
On the average indices of closed geodesics
-
H.-B. Rademacher, On the average indices of closed geodesics, J. Differential Geom. 29 (1989), 65-83.
-
(1989)
J. Differential Geom.
, vol.29
, pp. 65-83
-
-
Rademacher, H.-B.1
-
29
-
-
0001776080
-
A new obstruction to embedding Lagrangian tori
-
C. Viterbo, A new obstruction to embedding Lagrangian tori, Invent. Math. 100 (1990), 301-320.
-
(1990)
Invent. Math.
, vol.100
, pp. 301-320
-
-
Viterbo, C.1
-
32
-
-
0000155326
-
The Maslov index for paths
-
J. Robbin and D. Salamon, The Maslov index for paths, Topology 32 (1993), 827-844.
-
(1993)
Topology
, vol.32
, pp. 827-844
-
-
Robbin, J.1
Salamon, D.2
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