Abstract
The upper and lower solution method is used to discuss the existence of solutions of three-point boundary value problems for the third order nonlinear differential equation y″′ =f(x, y, y′, y″) satisfying the following linear boundary conditions y(j)(a)=α, y(b)=β and y(k)(c)=y, where j, kε{0, 1, 2}, (j, k)≠{2, 2). As a generalization of the results given by Zhao Weili et al. Corresponding theorems for the following nonlinear boundary conditions {g(y(a), y′(a), y″(a))=0 h(y(b),y′(b), y″(b))=0 k(y(c),y′(c), y″(c))=0 are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 228-233 |
| Number of pages | 6 |
| Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |
| Volume | 14 |
| Issue number | 3 |
| Publication status | Published - 1994 |
Keywords
- Banach fixed point theorem
- Boundary value problems/upper and lower solutions
- Ordinary differential equations