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The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method

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成果类型:
期刊论文
作者:
Sun, Juntao*;Chen, Haibo;Yang, Liu
通讯作者:
Sun, Juntao
作者机构:
[Chen, Haibo; Sun, Juntao; Yang, Liu] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
[Yang, Liu] Henyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
通讯机构:
[Sun, Juntao] C
Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
语种:
英文
关键词:
Critical points;Impulsive differential equation;Local linking;Variational method;Variational methods;Equations of state;Ordinary differential equations;Boundary conditions
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
2010
卷:
73
期:
2
页码:
440-449
基金类别:
The work of the first author was supported by the Graduate degree thesis Innovation Foundation of Central South University ( CX2009B023 ). The work of the second author was supported by NSFC ( 10871206 ).
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
In this paper, we study the existence and multiplicity of classical solutions for a second-order impulsive differential equation with periodic boundary conditions. By using a variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions and infinitely many solutions when the parameter pair (c,λ) lies in different intervals, respectively. Some examples are given in this paper to illustrate ...

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