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References

  1. Dawson, Donald A. Generalized stochastic integrals and equations. Trans. Amer. Math. Soc. 147 1970 473--506. MR0261719 (41 #6332)
  2. Fernique, Xavier. Processus linéaires, processus généralisés. (French) Ann. Inst. Fourier (Grenoble) 17 1967 fasc. 1 1--92. MR0221576 (36 #4628)
  3. I.M. Gelfand and N.Ya. Vilenkin. Generalized functions. Vol. 4 Academic Press, New York, 1964.
  4. Griepentrog, E.; März, R. Basic properties of some differential-algebraic equations. Z. Anal. Anwendungen 8 (1989), no. 1, 25--41. MR0997289 (90d:34004)
  5. Horn, Roger A.; Johnson, Charles R.. Matrix analysis. Cambridge University Press, Cambridge, 1990. xiv+561 pp. ISBN: 0-521-38632-2 MR1084815 (91i:15001)
  6. Jacod, Jean; Protter, Philip. Probability essentials. Universitext. Springer-Verlag, Berlin, 2003. x+254 pp. ISBN: 3-540-43871-8 MR1956867 (2003m:60002)
  7. Kuo, Hui Hsiung. Gaussian measures in Banach spaces. Springer-Verlag, Berlin-New York, 1975. vi+224 pp. MR0461643 (57 #1628)
  8. Nualart, David. The Malliavin calculus and related topics. Probability and its Applications (New York). Springer-Verlag, Berlin, 2006. xiv+382 pp. ISBN: 978-3-540-28328-7; 3-540-28328-5 MR2200233 (2006j:60004)
  9. Rabier, Patrick J.; Rheinboldt, Werner C. Classical and generalized solutions of time-dependent linear Linear Algebra Appl. 245 (1996), 259--293. MR1404179 (97e:34011)
  10. Rabier, Patrick J.; Rheinboldt, Werner C. Theoretical and numerical analysis of differential-algebraic 183--540, Handb. Numer. Anal., VIII, North-Holland, Amsterdam, 2002. MR1893418 (2003f:34002)
  11. O.Schein. Stochastic differential-algebraic equations in circuit simulation PhD thesis, Technische Universitat Darmstadt, 1999.
  12. Schein, O.; Denk, G.. Numerical solution of stochastic differential-algebraic equations with J. Comput. Appl. Math. 100 (1998), no. 1, 77--92. MR1658742 (99i:65076)
  13. Schwartz, Laurent. Théorie des distributions. et augmentée. Hermann, Paris 1966 xiii+420 pp. MR0209834 (35 #730)
  14. Winkler, Renate. Stochastic differential algebraic equations of index 1 and applications J. Comput. Appl. Math. 157 (2003), no. 2, 477--505. MR1998346 (2004f:60133)


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