Hamiltonian System;
Homoclinic Solution;
Order Hamiltonian System;
Periodic Hamiltonian System;
D O I:
10.1007/PL00001412
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We prove the existence of in finitely many homoclinic solutions for a class of second order Hamiltonian systems in R-N of the form -q = -q + alpha(t)W'(q) where alpha is almost periodic and W is superquadratic.
机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
Tang, X. H.
Lin, Xiaoyan
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机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
Lin, Xiaoyan
Xiao, Li
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机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
机构:
Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
Lv, Xiang
Lu, Shiping
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机构:
Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
Lu, Shiping
Yan, Ping
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机构:
Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
Univ Helsinki, Dept Math & Stat, Rolf Nevanlinna Inst, FIN-00014 Helsinki, FinlandAnhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
机构:
Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China
Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R ChinaJishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China
Xie, Jingli
Luo, Zhiguo
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机构:
Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R ChinaJishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China
Luo, Zhiguo
Chen, Guoping
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机构:
Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R ChinaJishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China
机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Yang, Ming-Hai
Han, Zhi-Qing
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机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China