×

Existence of positive solutions for singular eigenvalue problems. (English) Zbl 1118.34014

Summary: In this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong. The interesting point is that the authors obtain the relation between the existence of solutions and the parameter \(\lambda\). The arguments are based on the fixed point index theory and the upper and lower solutions method.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B24 Sturm-Liouville theory
34B15 Nonlinear boundary value problems for ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
PDFBibTeX XMLCite
Full Text: EuDML EMIS