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http://dx.doi.org/10.4134/BKMS.2012.49.4.815

EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE  

Wang, Feng (School of Mathematics and Physics Changzhou University, Department of Mathematics College of Science Hohai University)
Zhang, Fang (School of Mathematics and Physics Changzhou University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.4, 2012 , pp. 815-827 More about this Journal
Abstract
The existence of $n$ positive solutions is established for second order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins.
Keywords
boundary value problem; positive solution; resonance; A-proper; fixed point index;
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Times Cited By KSCI : 1  (Citation Analysis)  (Related Records In Web of Science)
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