Katalin Balla, Roswitha März
Linear differential algebraic equations of index 1 and their adjoint equations
Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976)

MSC:

34A09 Implicit equations

34A30 Linear equations and systems

Abstract: For linear differential algebraic equations of tractability index 1 the notion of the adjoint equation is analysed in full detail. Its solvability is shown at the lowest possible smoothness. The fundamental matrices of both equations are defined and their relationships are characterized.
Keywords: linear differential algebraic equations of index 1, adjoint equation, solvability, fundamental matrices.