Solutions to a boundary value problem of a fourth-order impulsive differential equation

被引：0
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作者：
Jingli Xie
Zhiguo Luo
机构：
[1] Jishou University,College of Mathematics and Statistics
[2] Hunan Normal University,Department of Mathematics
来源：
Boundary Value Problems | / 2013卷
关键词：
critical point theorem; impulsive differential equations; boundary value problem;
D O I：
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摘要：
This paper is concerned with the existence of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter λ. By employing some existing critical point theorems, we find the range of the control parameter in which the boundary value problem admits at least one solution. It is also shown that under certain conditions there exists an interval of the control parameter in which the boundary value problem possesses infinitely many solutions. The main results are also demonstrated with examples.
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