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Positive solutions to singular boundary value problems for Emden-Fowler equations with negative exponent. (Chinese. English summary) Zbl 1027.34024
Summary: The author investigates the existence of positive solutions to singular boundary value problems for Emden-Fowler equations with negative exponent. A necessary and sufficient condition for the existence of \(C[0,1]\) positive solutions as well as \(C^1[0, 1]\) positive solutions is given by means of lower and upper solutions and fixed-point theorems.

MSC:
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
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