| Title:
|
Periodic solutions for second order Hamiltonian systems (English) |
| Author:
|
Zhang, Qiongfen |
| Author:
|
Tang, X. H. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
407-425 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained. (English) |
| Keyword:
|
periodic solutions |
| Keyword:
|
minimax methods |
| Keyword:
|
second order Hamiltonian systems |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| MSC:
|
37J45 |
| MSC:
|
58E05 |
| MSC:
|
58E30 |
| MSC:
|
70H05 |
| idZBL:
|
Zbl 1265.34154 |
| idMR:
|
MR2984611 |
| DOI:
|
10.1007/s10492-012-0024-9 |
| . |
| Date available:
|
2012-08-19T21:50:12Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142907 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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[7] Tang, C. L.: Periodic solutions of non-autonomous second order systems with $\gamma$quasisub-additive potential.J. Math. Anal. Appl. 189 (1995), 671-675. MR 1312546, 10.1006/jmaa.1995.1044 |
| Reference:
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| Reference:
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[9] Tang, C. L.: Periodic solutions of nonautonomous second order systems with sublinear nonlinearity.Proc. Am. Math. Soc. 126 (1998), 3263-3270. MR 1476396, 10.1090/S0002-9939-98-04706-6 |
| Reference:
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[10] Tang, C. L., Wu, X. P.: Periodic solutions for second order systems with not uniformly coercive potential.J. Math. Anal. Appl. 259 (2001), 386-397. Zbl 0999.34039, MR 1842066, 10.1006/jmaa.2000.7401 |
| Reference:
|
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| Reference:
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[12] Wu, X.: Saddle point characterization and multiplicity of periodic solutions of non-autonomous second order systems.Nonlinear Anal., Theory Methods Appl. 58 (2004), 899-907. Zbl 1058.34053, MR 2086063, 10.1016/j.na.2004.05.020 |
| Reference:
|
[13] Wu, X. P., Tang, C. L.: Periodic solutions of a class of nonautonomous second order systems.J. Math. Anal. Appl. 236 (1999), 227-235 \MR 1704579. MR 1704579, 10.1006/jmaa.1999.6408 |
| Reference:
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[14] Zhao, F. K., Wu, X.: Periodic solutions for a class of non-autonomous second order systems.J. Math. Anal. Appl. 296 (2004), 422-434. MR 2075174, 10.1016/j.jmaa.2004.01.041 |
| Reference:
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[15] Zhao, F. K., Wu, X.: Existence and multiplicity of periodic solutions for non-autonomous second-order systems with linear nonlinearity.Nonlinear Anal., Theory Methods Appl. 60 (2005), 325-335. MR 2101882 |
| Reference:
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[16] Tang, X. H., Meng, Q.: Solutions of a second-order Hamiltonian system with periodic boundary conditions.Nonlinear Anal., Real World Appl. 11 (2010), 3722-3733. Zbl 1223.34024, MR 2683825 |
| Reference:
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[17] Wang, Z. Y., Zhang, J. H.: Periodic solutions of a class of second order non-autonomous Hamiltonian systems.Nonlinear Anal., Theory Methods Appl. 72 (2010), 4480-4487. Zbl 1206.34060, MR 2639196, 10.1016/j.na.2010.02.023 |
| . |
