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Continuous Interpolation of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions

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  • E. O. Ayoola
  • John O. Adeyeye

Abstract

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.

Suggested Citation

  • E. O. Ayoola & John O. Adeyeye, 2007. "Continuous Interpolation of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions," International Journal of Stochastic Analysis, Hindawi, vol. 2007, pages 1-12, January.
    • Handle: RePEc:hin:jnijsa:080750
    DOI: 10.1155/2007/80750
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