Upper and lower solutions for a superlinear singular boundary value problem (Q5948732)
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scientific article; zbMATH DE number 1671956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper and lower solutions for a superlinear singular boundary value problem |
scientific article; zbMATH DE number 1671956 |
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Upper and lower solutions for a superlinear singular boundary value problem (English)
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12 November 2001
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upper and lower solutions
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singular boundary value problem
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existence
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Based on a paper by \textit{P. Habets} and \textit{F. Zanolin} [J. Math. Anal. Appl. 181, No. 3, 684-700 (1994; Zbl 0801.34029)], the author uses the method of upper and lower solutions to prove an existence result on the singular two-point boundary value problem NEWLINE\[NEWLINE u''=-g(t,u),\quad t\in (0,1); \qquad u(0)=u(1)=0,NEWLINE\]NEWLINE where \(g:(0,1)\times (0, \infty)\to \mathbb{R}\) is continuous and may be superlinear.
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