Discontinuous solutions of semilinear differential-algebraic equations - I. Distribution solutions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 11, 1996, Pages 1241-1256

  Rabier, Patrick J ^a   Rheinboldt, Werner C ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Discontinuous solution; Distribution solution; Impasse points; Inconsistent initial values; Singularities

Indexed keywords

FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; THEOREM PROVING;

DIFFERENTIAL ALGEBRAIC EQUATIONS; DISCONTINUOUS SOLUTION; DISTRIBUTION SOLUTION; IMPASSE POINTS;

DIFFERENTIAL EQUATIONS;

EID: 0030550260     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00110-H     Document Type: Article

References (10)

1. RABIER P. J. & RHEINBOLDT W. C., On impasse points of quasilinear differential-algebraic equations, J. math. Analysis Applic. 181, 429-454 (1994).
2. RABIER P. J. & RHEINBOLDT W. C., On the computation of impasse points of quasilinear differential-algebraic equations, Math. Comp. 62, 133-154 (1994).
3. CHUA L. O. & DENG A.-C., Impasse points. Part I: numerical aspects, Int. J. Circ. Theor. Applic. 17, 213-235 (1989).
4. SASTRY S. S. & DESOER C. A., Jump behavior of circuits and systems, IEEE Trans. Circ. Syst. 28, 1109-1124 (1981).
5. TAKENS F., Constrained Equations: A Study of Implicit Differential Equations and Their Discontinuous Solutions, Lecture Notes in Math., Vol. 525. Springer, New York (1976).
6. RABIER P. J. & RHEINBOLDT W. C., Classical and generalized solutions of time-dependent linear DAEs, Lin. Alg. Appl. (to appear).
7. RABIER P. J. & RHEINBOLDT W. C., Time-dependent linear DAEs with discontinuous inputs, Lin. Alg. Appl. (to appear).
8. RABIER P. J. & RHEINBOLDT W. C., A geometric treatment of implicit differential-algebraic equations, J. diff. Eqns 109, 110-146 (1994).
9. CAMPBELL S. L. & GRIEPENTROG E., Solvability of general differential-algebraic equations, SIAM J. Sci. Comp. (to appear).
10. RABIER P. J., Implicit differential equations near a singular point, J. math. Analysis Applic. 44, 425-449 (1989).