Existence of solutions for a class of second-order sublinear and linear Hamiltonian systems with impulsive effects

被引：0

作者：

He, Xiaofei ^{[1
,2
]}

Chen, Peng ^{[3
]}

机构：

[1] Jishou Univ, Dept Math & Comp Sci, Jishou 416000, Hunan, Peoples R China

[2] Jishou Univ, Zhangjiajie Coll, Zhangjiajie 427000, Peoples R China

[3] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2011年 / 78期

关键词：

Hamiltonian systems; Impulse; Critical point theory; Grow sublinearly; Grow linearly; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS; VARIATIONAL APPROACH; NONLINEARITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the saddle point theorem, some new existence theorems are obtained for second-order Hamiltonian systems with impulsive effects in the cases when the gradient of the nonlinearity grows sublinearly and grows linearly respectively. Our results generalize some existing results and our conditions on the potential are rather relaxed.

引用

页数：15

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