Yu. Klokov. On some boundary value problem for the fourth order ordinary differential equations

Yu. Klokov.
On some boundary value problem for the fourth order ordinary differential equations.

Sufficient conditions for existence of a solution to the Dirihlet problem $$x''''=f(t,x,x',x'',x'''),$$ $$x(0)=x'(0)=x(\tau)=x'(\tau)=0$$ are given.