47
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED KURZWEIL EQUATIONS

Pages 581-603 | Published online: 15 Aug 2006

REFERENCES

  • Artstein , Z. 1977 . Topological Dynamics of Ordinary Differential Equations And Kurzweil Equations . Journal of Differential Equations , 23 : 224 – 243 .
  • Ayoola , E. O. 1998 . On Numerical Procedures For Solving Lipschitzian Quantum Stochastic Differential Equations , Ph.D Thesis Nigeria : University of Ibadan .
  • Ayoola , E. O. 1999 . Solutions of Lipschizian Quantum Stochastic Differential Equations In A Locally Convex Topological Space . To Appear In Journal Of Science Research , 4 ( 1 )
  • Ayoola , E. O. 2000 . Converging Multistep Methods For Weak Solutions Of Quantum Stochastic Differential Equations . Stochastic Analysis And Applications , 18 ( 4 ) : 525 – 554 .
  • Bullen , P. S. 1986 . A survey on integration by parts for Perron integrals . J. Austral. Math. Soc. (Series A) , 40 : 343 – 363 .
  • Chew , T. S. 1988 . On Kurzweil generalized ordinary differential equations . J. Differential Equations , 76 ( 2 ) : 286 – 293 .
  • Chew , T. S. and Flordeliza , F. 1991 . On X′ = f(t, X) and Henstock-Kurzweil integrals . Differential and Integral Equations , 4 : 861 – 868 .
  • Ekhaguere , G. O.S. 1992 . Lipschitzian quantum stochastic differential inclusions . Internat. J. Theoret. Phys. , 31 ( 11 ) : 2003 – 2034 .
  • Ekhaguere , G. O.S. 1995 . Quantum stochastic differential inclusions of hypermaximal monotone type . Internat. J. Theoret. Phys. , 34 ( 3 ) : 323 – 353 .
  • Ekhaguere , G. O.S. 1996 . Quantum stochastic evolutions . Internat. J. Theoret. Phys. , 35 ( 9 ) : 1909 – 1946 .
  • Hudson , R. L. 1991 . “ Quantum Stochastic Calculus and Some of its Applications ” . In Contemporary Stochastic Analysis 31–70 Edited by: Ekhaguere , G. O.S. World Scientific .
  • Hudson , R. L. and Parthasarathy , K. R. 1982 . “ Construction of quantum diffusion ” . In Lecture Notes in Math Vol. 1055 , 173 – 198 . Springer .
  • Hudson , R. L. and Parthasarathy , K. R. 1984 . Quantum Ito's formulae and stochastic evolutions . Commun. Math. Phys. , 93 : 3.1 – 324 .
  • Kloeden , P. E. and Platen , E. 1992 . Numerical solutions of stochastic differential equations Springer-Verlag .
  • Meyer , P. 1993 . “ Quantum Probability for Probabilists ” . In Lecture Notes in Math Vol. 1538 , Springer-Verlag .
  • Parthasarathy , K. R. 1992 . “ An Introduction to Quantum Stochastic Calculus ” . In Monographs in Mathematics Vol. 85 , Birkhauser Verlag .
  • Parthasarathy , K. R. 1985 . Boson Stochastic Calculus . Pramana J. Phys. , 25 : 457 – 465 .
  • Schwabik , S. 1992 . Generalized Ordinary Differential Equations World Scientific .

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.