Xian Xu, Bingjin Wang, Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, P. R. China, e-mail: xuxian68@163.com
Abstract: In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower solution. The results can be applied to a wide variety of boundary value problems to obtain multiplicity results for sign-changing solutions.
Keywords: sign-changing solution, operator equation in ordered Banach space, fixed point index
Classification (MSC 2000): 47H07, 47H10
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