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SIGN-CHANGING SOLUTIONS OF (e1, B)-LIMIT INCREASING OPERATOR EQUATION*

Published online by Cambridge University Press:  10 March 2011

XU XIAN
XU XIAN*
Affiliation:
Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, P. R. China email: xuxian68@163.com
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Abstract

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In this paper, by using the fixed point index method first we obtain some existence and multiplicity results for sign-changing solutions of an (e1, B)-limit increasing operator equation. The main results can be applied to many non-linear boundary value problems to obtain the existence and multiplicity results for sign-changing solutions. We also give a clear description of locations of these sign-changing solutions through strict lower and upper solutions. As an example, in the last section we obtain some existence and multiplicity results for sign-changing solutions of some Sturm–Liouville differential boundary value problems.

Keywords

47H0747H10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 535 - 554
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

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