On a two-point boundary value problem (Q1900658)
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scientific article; zbMATH DE number 811590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a two-point boundary value problem |
scientific article; zbMATH DE number 811590 |
Statements
On a two-point boundary value problem (English)
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1 November 1995
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If \(f = f(t,y,p)\) is continuous, there is a constant \(M > 0\) such that \(yf(t,y,0) > 0\) for \(|y |\geq M\) and \(f\) satisfies a Nagumo- Bernstein condition, then there exists a solution to \(y'' = f(t,y,y')\), \(y(0) = y(1) = 0\).
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Dirichlet boundary conditions
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a priori estimates
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Nagumo-Bernstein condition
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