Griepentrog, E.; März, R. Basic properties of some differential-algebraic equations. (English) Zbl 0666.34016 Z. Anal. Anwend. 8, No. 1, 25-40 (1989). The solvability of the equation \(Ax'+Bx=q\) with a regular modified local matrix pencil of higher index is considered. It is shown how to formulate initial conditions properly and that the initial value problems lead to operators with unbounded inverses. The close relationship of the matrix pencils needed in the investigation and of the related chains of the reduction methods is pointed out. Cited in 25 Documents MSC: 34A99 General theory for ordinary differential equations Keywords:local matrix pencil of higher index; operators with unbounded inverses; reduction methods PDFBibTeX XMLCite \textit{E. Griepentrog} and \textit{R. März}, Z. Anal. Anwend. 8, No. 1, 25--40 (1989; Zbl 0666.34016) Full Text: DOI