Publication Cover
Dynamical Systems
An International Journal
Volume 23, 2008 - Issue 4
65
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Linear differential-algebraic equations with properly stated leading term: B-critical points

&
Pages 505-522 | Received 22 May 2007, Accepted 30 Jul 2008, Published online: 08 Nov 2008

References

  • Balla , K and März , R . 2002 . A unified approach to linear differential-algebraic equations and their adjoint equations . Z. Anal. Anwendungen , 21 : 783 – 802 .
  • Higueras , I and März , R . 2004 . Differential algebraic equations with properly stated leading terms . Comp. Math. Appl. , 48 : 215 – 235 .
  • März , R . 2002 . The index of linear differential algebraic equations with properly stated leading terms . Results Math. , 42 : 308 – 338 .
  • Brenan , KE , Campbell , SL and Petzold , LR . 1996 . Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations , Philadelphia : SIAM .
  • Kunkel , P and Mehrmann , V . 2006 . Differential-Algebraic Equations. Analysis and Numerical Solution , Zürich : EMS .
  • Rabier , PJ and Rheinboldt , WC . 1996 . Classical and generalized solutions of time-dependent linear differential-algebraic equations . Lin. Alg. Appl. , 245 : 259 – 293 .
  • Rabier , PJ and Rheinboldt , WC . 2002 . “ Theoretical and Numerical Analysis of Differential-Algebraic Equations ” . In Handbook of Numerical Analysis , Vol. VIII , 183 – 540 . Amsterdam : North Holland/Elsevier .
  • März , R . 2004 . Solvability of linear differential algebraic equations with properly stated leading terms . Res. Math. , 45 : 88 – 105 .
  • März , R . 2004 . Fine decouplings of regular differential algebraic equations . Res. Math. , 46 : 57 – 72 .
  • März , R and Riaza , R . 2006 . Linear differential-algebraic equations with properly stated leading term: Regular points . J. Math. Anal. Appl. , 323 : 1279 – 1299 .
  • März , R and Riaza , R . 2007 . Linear differential-algebraic equations with properly stated leading term: A-critical points . Math. Comput. Model. Dyn. Sys. , 13 : 291 – 314 .
  • Riaza , R and März , R . 2004 . Linear index-1 DAEs: regular and singular problems . Acta Appl. Math. , 84 : 29 – 53 .
  • Ilchmann , A and Mehrmann , V . 2005 . A behavioural approach to time-varying linear systems. II: Descriptor systems . SIAM J. Cont. Optim. , 44 : 1748 – 1765 .
  • Riaza , R and März , R . 2008 . A simpler construction of the matrix chain defining the tractability index of linear DAEs . Appl. Math. Lett. , 21 : 326 – 331 .
  • Ben-Israel , A and Greville , TNE . 2003 . Generalized Inverses: Theory and Applications , New York : Springer-Verlag .
  • Estévez-Schwarz , D and Tischendorf , C . 2000 . Structural analysis of electric circuits and consequences for MNA . Internat. J. Circuit Theory Appl. , 28 : 131 – 162 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.