A general existence and uniqueness theory for implicit differential-algebraic equations

Differential and Integral Equations

Volumn 4, Issue 3, 1991, Pages 563-582

  Rabier, Patrick J ^a   Rheinbold, Werner C ^a   Aftabizadeh, A R ^b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972545522     PISSN: 08934983     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. K.E. Brenan, S.L. Campbell, and L.R. Petzold, "Numerical Solution of Initial-Value Problems in Differential Algebraic Equations," North-Holland, New York 1989.
2. P. Deuflhard and U. Nowak, Extrapolation integrators for quasilinear implicit ODEs, in "Large Scale Scientific Computing," ed. by P. Deuflhard and B. Engquist, Birkhäuser Verlag, Basel, (1987), 37-50.
3. J. Dieudonné, "Elements d’Analyse," Vol. 3, Gauthier-Villars (1970).
4. E. Griepentrog and R. Maerz, "Differential-Algebraic Equations and Their Numerical Treatment," Teubner Verlag, Leipzig 1986.
5. P. J. Rabier, Implicit differential equations near a singular point, J. Math. Anal. Appl., 144 (1989), 425-449.
6. S. Reich, On a geometrical interpretration of differential-algebraic equations, Sekt. Inf. Technik TU Dresden, Preprint, Dresden, DDR, 1989.
7. W.C. Rheinboldt, Differential-algebraic systems as differential equations on manifolds, Math. Comp., 43 (1984), 473-482.
8. W.C. Rheinboldt, On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations, Nonlinear Analysis, to appear.