# zbMATH — the first resource for mathematics

Positive solutions to a class of fourth-order superlinear singular boundary value problems. (Chinese. English summary) Zbl 0995.34015
Summary: Here, the authors give a necessary and sufficient condition for the existence of $$C^3[0,1]$$ positive solutions to fourth-order superlinear boundary value problems by using the fixed-point theorems on cones, and gain the existence of $$C^2[0,1]$$ positive solutions when the condition is weakened further.
##### MSC:
 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations