Solvability of linear differential algebraic equations with properly stated leading terms (Q1885232)

The paper is a continuation of the approach presented in the article [the author, Result. Math. 42, No. 3--4, 308--338 (2002; Zbl 1047.34005)] to characterize a general solvability statement for linear differential-algebraic equations with continuous coefficients and properly leading terms of the form \[ A(t)(D(t) x(t))'+ B(t)x(t)= q(t),\quad t\in I,\quad I\subseteq\mathbb{R}, \] with \(A(t)\in L(\mathbb{R}^n, \mathbb{R}^m)\), \(D(t)\in L(\mathbb{R}^m, \mathbb{R}^n)\), \(B(t)\in L(\mathbb{R}^n, \mathbb{R}^n)\) and \(q(t)\in \mathbb{R}^n\).