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Linear differential algebraic equations of index 1 and their adjoint equations

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Abstract

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

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Authors and Affiliations

  1. Computer and Automation Institute, Hungarian Academy of Science, Lagymanyose u. 11, H-1518, Budapest, Hungary

    Katalin Balla

  2. Institute of Mathematics, Humboldt-University of Berlin, Unter den Linden 6, D-10099, Berlin, Germany

    Roswitha März

Authors
  1. Katalin Balla
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  2. Roswitha März
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Correspondence to Katalin Balla.

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The work of this author was supported by the Hungarian National Science Foundation, Grant No. T029572.

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Balla, K., März, R. Linear differential algebraic equations of index 1 and their adjoint equations. Results. Math. 37, 13–35 (2000). https://doi.org/10.1007/BF03322509

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  • DOI: https://doi.org/10.1007/BF03322509

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