The existence of countably many positive solutions for nonlinear singular m-point boundary value problems

Authors:
Sihua Liang;Jihui Zhang
Affiliations:
Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097 Jiangsu, PR China and College of Mathematics, Changchun Normal University, Changchun, 13003 ...;Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097 Jiangsu, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 1
Cited 7

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Abstract

In this paper, we study the existence of countably many positive solutions for nonlinear singular boundary value problem(@f(u^'))^'+a(t)f(u(t))=0,0R is an increasing homeomorphism and positive homomorphism and @f(0)=0,@x"i@?(0,1) with 0[0,+~) and has countably many singularities in [0,12). We show that there exist countably many positive solutions by using the fixed-point index theory and a new fixed-point theorem in cones.