|
|
|
|
Volume 5, Issue 1, Article 13 |
|
|
|
|
|
|
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.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|