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**Solvability of three-point boundary value problems at resonance with a \(p\)-Laplacian on finite and infinite intervals.**
*(English)*
Zbl 1261.34025

Summary: Three-point boundary value problems for second-order differential equation with a \(p\)-Laplacian on finite and infinite intervals are investigated. By using a new continuation theorem, sufficient conditions are given, under resonance conditions, to guarantee the existence of solutions to such boundary value problems with a nonlinear term involving the first-order derivative explicitly.

### MSC:

34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |

34B40 | Boundary value problems on infinite intervals for ordinary differential equations |

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

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\textit{H. Lian} et al., Abstr. Appl. Anal. 2012, Article ID 658010, 16 p. (2012; Zbl 1261.34025)

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### References:

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