Geodesic
Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space
Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 399-409

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MR Zbl
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.
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.
DOI : 10.21136/MB.2009.140672
Classification : 47H07, 47H10
Keywords: sign-changing solution; operator equation in ordered Banach space; fixed point index 
Xu, Xian; Wang, Bingjin. Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space. Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 399-409. doi: 10.21136/MB.2009.140672
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