Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations (Q1411812)
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scientific article; zbMATH DE number 1999252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations |
scientific article; zbMATH DE number 1999252 |
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Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations (English)
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3 December 2003
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Consider the second-order scalar differential equation \((*) \;u'' = f(t,u,u').\) The author compares two definitions of upper and lower solutions to \((*)\) that are due to \textit{I. Rachůnková} and \textit{M. Tvrdý} [J. Inequal. Appl. 6,199--226 (2001; Zbl 1039.34013)] and due to \textit{C. Fabry} and \textit{P. Habets} [Nonlinear Anal., Theory Methods Appl. 10, 985--1007 (1986; Zbl 0612.34015)]. He shows how the upper and lower solutions of both definitions are related.
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upper and lower solutions
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second-order differential equations
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