Yu.A. Klokov.  
On the Dirichlet problem for nonlinear ordinary differential equation of the fourth order

 

 Sufficient conditions for solvability of the Dirichlet boundary value problem $x''''=f(t,x,x',x'',x'''),$ 
$ x(0)=x''(0)=x(\tau)=x''(\tau)=0 $
are given.

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