2005 / June Volume 32 No.2
Solvability of multi-point boundary value problems for $2n$-order ordinary differential equations at resonance (Ⅱ)
| Published Date |
2005 / June
|
|---|---|
| Title | Solvability of multi-point boundary value problems for $2n$-order ordinary differential equations at resonance (Ⅱ) |
| Author | |
| Keyword | |
| Download | |
| Pagination | 115-149 |
| Abstract | In this paper, we prove existence results for solutions of multi-point boundary value problems at resonance (Theorems 2.1-2.2) and for positive solutions at non-resonance (Theorems 2.3) for a 2n-th order differential equation. Our method is based upon the coincidence degree theory of Mawhin. The interest is that the degree of some variables among ${x_0, x_1, \ldots , x_{2n-1}}$ in
the function ${f(t, x_0, x_1, \ldots , x_{2n-1})}$ is allowable to be greater than
1. The results obtained are new.
|
| AMS Subject Classification |
not available
|
| Received |
2004-03-18
|