Shuang Li, Jian Yin, Zengji Du
Abstract:
In this article, we consider the boundary-value problem
where
is a Caratheodory
function, and the kernel to the linear operator has dimension three.
Under some resonance conditions, by using the coincidence
degree theorem, we show the existence of solutions. An example
is given to illustrate our results.
Submitted October 13, 2013. Published March 5, 2014.
Math Subject Classifications: 34B15.
Key Words: Multi-point boundary-value problem; coincidence degree theory;
resonance.
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Shuang Li School of Management China University of Mining and Technology Xuzhou, Jiangsu 221116, China email: lishuangchina@163.com | |
Jian Yin School of Mathematics and Statistics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: yinjian719@163.com | |
Zengji Du School of Mathematics and Statistics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: duzengji@163.com, Fax 0086-516-83403299 |
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