Ground state periodic solutions for Duffing equations with superlinear nonlinearities
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作者:
Chen, Guanwei
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机构:
Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R ChinaAnyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China
Chen, Guanwei
[1
]
Wang, Jian
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机构:
Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R ChinaAnyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China
Wang, Jian
[1
]
机构:
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China
second order differential equations;
ground state periodic solutions;
spectral gap;
generalized Nehari manifold approach;
2ND-ORDER DIFFERENTIAL-EQUATIONS;
EXISTENCE;
D O I:
10.1186/1687-1847-2014-139
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we study a general second order differential equation with superlinear nonlinearity. We obtain ground state and geometrically distinct periodic solutions of this equation by a generalized Nehari manifold approach. In particular, our result extends some existing ones.
机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Chen, Sitong
Radulescu, Vicentiu D.
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机构:
AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland
Romanian Acad, Inst Math Sirnion Stoilow, POB 1-764, Bucharest 014700, RomaniaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Radulescu, Vicentiu D.
Tang, Xianhua
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机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Tang, Xianhua
Zhang, Binlin
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机构:
Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
Heilongjiang Inst Technol, Dept Math, Harbin 150050, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China