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The index of linear differential algebraic equations with properly stated leading terms

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Abstract

For linear differential-algebraic equations with properly stated leading terms and coefficients that are just continuous an index notion is introduced. The index criteria are given in terms of the original coefficients. The index is shown to be invariant under regular transformations of the unknown function, but also under refactorizations of the leading term. Inherent regular explicit ordinary differential equations are described in detail.

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  1. Institut für Mathematik Unter den Linden, Humboldt-Universität zu Berlin, D-10099, Berlin, Germany

    Roswitha März

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  1. Roswitha März
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März, R. The index of linear differential algebraic equations with properly stated leading terms. Results. Math. 42, 308–338 (2002). https://doi.org/10.1007/BF03322858

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