**I. Kiguradze, B. Puza, I. P. Stavroulakis**

## On Singular Boundary Value Problems for Functional Differential Equations of Higher Order

**abstract:**

Sufficient conditions are established for the solvability of the
boundary value problem
$$ x^{(n)}(t)=f(x)(t), \;\;\; h_i(x)=0 \;\; (i=1,\dots,n), $$
where $f$ is an operator ($h_i$ $(i=1,\dots,n)$ are operators)
acting from some subspace of the space of $(n-1)$-times differentiable
on the interval $]a,b[$ $m$-dimensional vector functions
into the space of locally integrable on $]a,b[$ $m$-dimensional
vector functions (into the space $\bR^m$).