Existence and multiplicity of solutions for second-order impulsive differential equations on the half-line

被引:0
作者
Lizhao Yan
Jian Liu
Zhiguo Luo
机构
[1] Press,Department of Mathematics
[2] Hunan Normal University,School of Economics and Management
[3] Hunan Normal University,undefined
[4] Changsha University of Science and Technology,undefined
来源
Advances in Difference Equations | / 2013卷
关键词
variational methods; impulsive differential equations; boundary value problem; half-line;
D O I
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学科分类号
摘要
In this paper, we use variational methods to investigate the solutions of impulsive differential equations on the half-line. The conditions for the existence and multiplicity of solutions are established. The main results are also demonstrated with examples.
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[1]  
Agarwal RP(2005)Singular boundary value problems for first and second order impulsive differential equations Aequ. Math 69 83-96
[2]  
Franco D(2007)Impulsive periodic boundary value problems of first-order differential equations J. Math. Anal. Appl 325 226-299
[3]  
O’Regan D(2008)Impulsive periodic solutions of first-order singular differential equations Bull. Lond. Math. Soc 40 143-150
[4]  
Li J(2001)Stability and boundedness for impulsive functional differential equations with infinite delays Nonlinear Anal 46 475-493
[5]  
Nieto JJ(2006)Positive solutions for second order impulsive differential equations with dependence on first order derivative J. Math. Res. Expo 26 725-734
[6]  
Shen J(2009)Existence results for abstract impulsive second-order neutral functional differential equations Nonlinear Anal. TMA 70 2736-2751
[7]  
Chu J(2008)Triple positive solutions of three-point boundary value problem for second-order impulsive differential equations on the half-line Dyn. Syst. Appl 17 637-652
[8]  
Nieto JJ(1998)Multiple solutions of impulsive boundary value problems on the half-line J. Comput. Appl. Math 5 111-123
[9]  
Luo ZG(2011)Multiple positive solutions for first order impulsive superlinear integro-differential equations on the half line Acta Math. Sci 31 1167-1178
[10]  
Shen JH(2009)Variational approach to impulsive differential equations Nonlinear Anal 10 680-690