|
JIPAM
| The Method of Lower and Upper Solutions for Some Fourth-Order Equations |
|
|
|
|
| |
| |
Authors: |
Zhanbing Bai, Weigao Ge, Yifu Wang, |
|
| |
Keywords:
|
Maximum principle; Lower and upper solutions; Fourth-order equation. |
|
| |
Date Received:
|
17/09/03 |
|
| |
Date Accepted:
|
23/01/04 |
|
| |
Subject Codes: |
34B15, 34B10
|
|
| |
Editors: |
A. M. Fink, |
|
| |
|
|
|
|
| |
Abstract: |
In this paper, by combining a new maximum principle of fourth-order equations with the theory of eigenline problems, we develop a monotone method in the presence of lower and upper solutions for some fourth-order ordinary differential equation boundary value problem. Our results indicate there is a relation between the existence of solutions of nonlinear fourth-order equation and the first eigenline of linear fourth-order equation.;
|
This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=365
|