An extension of a theorem by A. Constantin on a two-point boundary value problem (Q5929386)
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scientific article; zbMATH DE number 1584981
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of a theorem by A. Constantin on a two-point boundary value problem |
scientific article; zbMATH DE number 1584981 |
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An extension of a theorem by A. Constantin on a two-point boundary value problem (English)
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2 July 2001
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boundary value problem
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existence
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upper and lower solution method
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Consider the boundary value problem NEWLINE\[NEWLINEx''=g(t,x,y)+h(t,x,y),t\in (0,1),NEWLINE\]NEWLINE NEWLINE\[NEWLINEx(0)\cos\alpha-x'(0)\sin\alpha=A,\qquad x(1)\cos\beta-x'(1)\sin\beta=B,NEWLINE\]NEWLINE where \(g\) is continuous, and \(\alpha, \beta, A \) and \( B\) are constants. By an upper and lower solution method, the author gives a proof for the existence of a solution to this problem.
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