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Volume 1, Issue 1, Article 8 |
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Existence and Local Uniqueness for Nonlinear Lidstone Boundary Value Problems
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Authors: |
Jeffrey Ehme, Johnny Henderson, |
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Keywords:
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Nonlinear boundary value problem, upper solution, lower solution |
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Date Received:
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12/01/00 |
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Date Accepted:
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31/01/00 |
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Subject Codes: |
34B15,34A40
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Editors: |
Ravi P. Agarwal, |
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Abstract: |
Higher order upper and lower solutions are used to establish
the existence and local uniqueness of solutions to
![y^{(2n)}=f(t,y,y'',dots,y^{(2n-2)})](images/021_99_JIPAM/img1.gif)
satisfying
boundary conditions of the form
![](images/021_99_JIPAM/img2.gif)
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