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Volume 5, Issue 1, Article 13 |
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The Method of Lower and Upper Solutions for Some Fourth-Order Equations
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Authors: |
Zhanbing Bai, Weigao Ge, Yifu Wang, |
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Keywords:
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Maximum principle; Lower and upper solutions; Fourth-order equation. |
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Date Received:
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17/09/03 |
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Date Accepted:
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23/01/04 |
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Subject Codes: |
34B15, 34B10
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Editors: |
A. M. Fink, |
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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.
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