Multiplicity results for a class of fourth order semipositone \(m\)-point boundary value problems. (English) Zbl 1255.34020
The authors study the existence of multiple solutions for a class of fourth-order semipositone \(m\)-point boundary value problems with a parameter. By using bifurcation techniques, they obtain two results on the existence of multiple solutions when the parameter changes in some region.
Reviewer: Yulian An (Shanghai)
MSC:
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B08 | Parameter dependent boundary value problems for ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
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