期刊论文详细信息
Advances in Difference Equations | |
Existence of solutions of a second-order impulsive differential equation | |
Guoping Chen1  Jingli Xie1  Zhiguo Luo2  | |
[1] College of Mathematics and Statistics, Jishou University, Jishou, P.R. China;Department of Mathematics, Hunan Normal University, Changsha, P.R. China | |
关键词: impulsive differential equation; critical point theory; existence of solutions; | |
DOI : 10.1186/1687-1847-2014-118 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 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. MSC:34B15, 34B18, 34B37, 58E30.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904026629634ZK.pdf | 335KB | download |