Du, Ruijuan Existence of solutions for third-order two-point boundary value problems under Nagumo conditions. (Chinese. English summary) Zbl 1174.34330 Acta Anal. Funct. Appl. 10, No. 1, 71-75 (2008). Summary: We consider the existence of solutions for the boundary value problem \[ \begin{cases} y'''=f(t,y,y',y''),\;t\in [0,1],\\ y(0)=y'(0)=y'(1)=0,\end{cases} \] where \(f:[0,1]\times\mathbb R^3\rightarrow\mathbb R\) is continuous. MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:two-point boundary value problem; Nagumo conditions; existence PDFBibTeX XMLCite \textit{R. Du}, Acta Anal. Funct. Appl. 10, No. 1, 71--75 (2008; Zbl 1174.34330)