SOLVABILITY OF BOUNDARY-VALUE-PROBLEMS FOR SYSTEMS OF SINGULAR DIFFERENTIAL-ALGEBRAIC EQUATIONS

This paper considers systems of linear singular differential-algebraic equations subject to two-point boundary conditions. Existence and uniqueness theory is given for the case when one can decouple the original problem in a boundary value problem for ODEs with a singularity of the first kind at the left endpoint of the interval, and a set of algebraic equations. This paper also studies the solvability of the system in its initial value version.