Solution of Degnerate Linear Initial Value Problems
L. Berg · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1977
Abstract There are investigated degenerate linear operator equations with respect to their solubility. Given suitable initial values necessary and sufficient conditions for uniqueness are set up, and the solution is constructed explicitly. The case that the coefficients are matrices is treated in detail. An important tool is the notion of the relative inverse operator. The paper continues results due to M. Tasche, which are essentially connected with the notions of (generalized) ascent and decent.