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Keywords:
sign-changing solution; operator equation in ordered Banach space; fixed point index
sign-changing solution; operator equation in ordered Banach space; fixed point index
Summary:
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.
References:
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