On linear regular multipoint boundary value problems for differential-algebraic equations (Q1593704)

The authors deal with solutions to a linear multipoint boundary value problem for differential-algebraic equations. The system of DAEs consists into a linear differential system with matrix-valued functions as coefficients coupled with a system of linear Riemann-Stieltjes integral equations. The coefficients of this system are subject to the so-called ``transferability condition'' and have the property of ``regularity''. The main theorem of the paper gives a proof of the existence of the unique solution to the linear regular multipoint boundary value problem and gives its expression in terms of so-called ``shooting vectors'' and the fundamental matrix of the homogeneous differential system.