On a two-point boundary value problem
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 \(y'' = f(t,y,y')\), \(y(0) = y(1) = 0\).
scientific article; zbMATH DE number 811590