Abstract:
For the Lidstone boundary-value problem
$$
u^{(4)}+q(t)\,u=f(t),\quad0<t<1,
$$
$$
u(0)=u''(0)=u(1)=u''(1)=0
$$
conditions of solvability are obtained for nonintegrable functions $q(t)$ and $f(t)$, and a computable error bound for the Ritz method is established. Bibl. – 3 titles.