New existence theorems of positive solutions for singular boundary value problems

Meiqiang Feng, Beijing Institute of Technology, Beijing, P. R. China
Xuemei Zhang, North China Electric Power University, Beijing, P. R. China
Weigao Ge, Beijing Institute of Technology, Beijing, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 13. (2006), pp. 1-9.

Communicated by V. Lakshmikantham. Received on 2006-06-22
Appeared on 2006-08-08

Abstract: In this paper, some nonexistence, existence and multiplicity of positive solutions are established for a class of singular boundary value problem. The authors also obtain the relation between the existence of the solutions and the parameter $\lambda$. The arguments are based upon the fixed point index theory and the upper and lower solutions method.


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