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Existence of solutions for third-order two-point boundary value problems under Nagumo conditions. (Chinese. English summary) Zbl 1174.34330

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
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