Limit theorems for the solutions of multipoint boundary-value problems with parameter in Sobolev spaces (Q2218758)

The paper studies a general class of multipoint boundary value problems depending on a parameter \(\varepsilon>0\) and involving a system of linear ordinary differential equations of arbitrary order. The author proposes an asymptotic analysis of the solutions belonging to the complex Sobolev space \(W_{p}^{n+r}\) (with \(n\geq0\), \(r\geq1\), \(1\leq p\leq\infty\)) as \(\varepsilon\to 0^{+}\).