Hongxia Shi, Haibo Chen
Abstract:
In this article we study a class of boundary value problems with
impulsive effects. First by using Morse theory in combination with
local linking arguments, the existence result of at least two
nontrivial solutions are obtained. Next we prove that the problems
have k distinct pairs of solutions by using the Clark theorem.
Recent results from the literature are improved and extended.
Submitted March 15, 2015. Published August 10, 2015.
Math Subject Classifications: 34A37, 34B37.
Key Words: Boundary value problems; impulsive effects; nontrivial solutions;
Morse theory; local linking.
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Hongxia Shi School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: shihongxia5617@163.com |
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Haibo Chen School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: math_chb@163.com, math_chb@csu.edu.cn |
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