## Third-order boundary value problems with sign-changing solutions.(English)Zbl 1130.34010

The authors are concerned with the existence of sign-changing solutions for a third order differential equation
$u'''(t)=f(t,u(t),u'(t),u''(t)),\quad\text{ a.e. } t\in (0,1),$
subject to the boundary conditions $$u(0)=u'(0)=u''(1)=0$$ or $$u(0)=u'(1)=u''(1)=0$$.
The proof of the main results are based on the Leray-Schauder continuation principle.
Reviewer: Ruyun Ma (Lanzhou)

### MSC:

 34B15 Nonlinear boundary value problems for ordinary differential equations
Full Text:

### References:

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