Skip to main content
SpringerLink
Log in

Solvability of linear differential algebraic equations with properly stated leading terms

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

In this paper, general solvability statements on linear continuous coefficient differential algebraic equations with properly stated leading terms are derived by means of decoupling projector functions decomposing the differential algebraic equation into its characteristic components.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. März, The index of linear differential algebraic equations with properly stated leading terms. Results in Mathematics 42(2002), 308–338.

    Article  MATH  Google Scholar 

  2. P.J. Rabier, W.C. Rheinboldt, Theoretical and numerical analysis of differential algebraic equations. Handbook of Numerical Analysis, Vol VIII, Elsevier Publ. Amsterdam, 2002.

  3. K. Balla, R. März, A unified approach to linear differential algebraic equations and their adjoints. Zeitschrift f. Analysis und ihre Anwendungen 21(2002)3, 783–802.

    MATH  Google Scholar 

  4. R. März, Differential algebraic systems anew. Applied Numerical Mathematics 42(2002), 315–335.

    Article  MathSciNet  MATH  Google Scholar 

  5. G. Zielke, Motivation und Darstelllung von verallgemeinerten Matrixinversen. Beiträge zur Numerischen Mathematik 7(1979), 177–218.

    MathSciNet  MATH  Google Scholar 

  6. R. März, Canonical projectors for linear differential algebraic equations. Computers Math. Applic. 31(1996) 4/5, 121–135.

    Article  MATH  Google Scholar 

  7. E. Griepentrog, R. März, Differential-algebraic equations and their numerical treatment. Teubner, Leipzig, 1986.

    MATH  Google Scholar 

  8. I. Schumilina, Index-3 DAEs with properly stated leading term. Humboldt-Universität zu Berlin Institut für Mathematik, Preprint 2001-20, 2001.

  9. L. Dai, Singular control systems. Lect. Notes Control Inf. Sci. 118, Springer, Berlin 1989.

    Google Scholar 

  10. P.C. Müller, Kausale und nichtkausale Descriptorsysteme. Z. Angew. Math. Mech. 77(1997), Suppl. 1, 231–232

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Humboldt-Universität zu Berlin, Institut für Mathematik, Unter den Linden 6, D-10099, Berlin

    Roswitha März

Authors
  1. Roswitha März
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

März, R. Solvability of linear differential algebraic equations with properly stated leading terms. Results. Math. 45, 88–105 (2004). https://doi.org/10.1007/BF03323000

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03323000

Keywords

AMS subject classification

Search

Navigation