Journal of Applied Mathematics and Stochastic Analysis
Volume 2007 (2007), Article ID 80750, 12 pages
Research Article

Continuous Interpolation of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions

E. O. Ayoola1,2 and John O. Adeyeye3

1Department of Mathematics, University of Ibadan, Ibadan, Nigeria
2Department of Mathematics, Swedish Institute Guest Scholar, Chalmers University of Technology, Gotebörg 41296, Sweden
3Department of Mathematics, Winston-Salem State University, Winston-Salem 27110, NC, USA

Received 12 March 2007; Accepted 13 November 2007

Copyright © 2007 E. O. Ayoola and John O. Adeyeye. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Given any finite set of trajectories of a Lipschitzian quantum stochastic differential inclusion (QSDI), there exists a continuous selection from the complex-valued multifunction associated with the solution set of the inclusion, interpolating the matrix elements of the given trajectories. Furthermore, the difference of any two of such solutions is bounded in the seminorm of the locally convex space of solutions.