Existence of solutions of a second-order impulsive differential equation

被引：0
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作者：
Zhiguo Luo
Jingli Xie
Guoping Chen
机构：
[1] Hunan Normal University,Department of Mathematics
[2] Jishou University,College of Mathematics and Statistics
来源：
Advances in Difference Equations | / 2014卷
关键词：
impulsive differential equation; critical point theory; existence of solutions;
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摘要：
This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, at least one solution, at least two solutions and infinitely many solutions, respectively, by using critical point theorems. The main results are also demonstrated with examples.
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