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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
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