Green’s function for first-order multipoint boundary value problems and applications to the existence of solutions with constant sign. (English) Zbl 1243.34039
The authors discuss in detail about the constant sign of Green’s function for a first-order linear differential equation with multipoint boundary value condition. The results can be used to establish some interesting results about the existence of positive solutions for nonlinear multipoint boundary value problems.
Reviewer: Yuqiang Feng (Wuhan)
MSC:
| 34B27 | Green’s functions for ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B05 | Linear boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
Keywords:
first-order differential equations; linear differential equations; boundary value problems; existence of solution; uniqueness of solution; explicit solution; Green’s function; positive solutionsReferences:
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