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**Multiple positive solutions for singular semipositone periodic boundary value problems with derivative dependence.**
*(English)*
Zbl 1255.34026

Summary: By constructing a special cone in \(C^1[0, 2\pi]\) and applying a fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applicability of our main results.

### MSC:

34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |

34B16 | Singular nonlinear boundary value problems for ordinary differential equations |

47N20 | Applications of operator theory to differential and integral equations |

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\textit{H. Lu}, J. Appl. Math. 2012, Article ID 295209, 12 p. (2012; Zbl 1255.34026)

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### References:

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