Solutions of some \(m\)-point boundary value problems for second-order differential equations. (Chinese. English summary) Zbl 1240.34059
Summary: We consider some \(m\)-point boundary value problems of second-order differential equations. We prove uniqueness and give the exact expressions of the solutions for linear differential equations with some \(m\)-point boundary conditions. As applications, we study the solution by an iteration method for some nonlinear singular boundary value problems.
MSC:
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B16 | Singular nonlinear boundary value problems for ordinary differential equations |
| 34A45 | Theoretical approximation of solutions to ordinary differential equations |
| 34A05 | Explicit solutions, first integrals of ordinary differential equations |
