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- Title
EXISTENCE OF COUNTABLY MANY POSITIVE SOLUTIONS FOR nTH-ORDER m-POINT BOUNDARY-VALUE PROBLEMS ON TIME SCALES.
- Authors
SIHUA LIANG; JIHUI ZHANG; ZHIYONG WANG
- Abstract
In this paper, we study the existence of positive solutions for the nonlinear n-th order with m-point singular boundary-value problem. By using the fixed point index theory and a new fixed point theorem in cones, the existence of countably many positive solutions for a nonlinear singular boundary value problem are obtained.
- Subjects
NUMERICAL solutions to boundary value problems; NUMERICAL solutions to nonlinear differential equations; FIXED point theory; DIFFERENTIAL equations; NUMERICAL analysis
- Publication
Electronic Journal of Differential Equations, 2008, Vol 2008, p1
- ISSN
1550-6150
- Publication type
Article