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Analysis and Mathematical Physics

, Volume 6, Issue 1, pp 85–94 | Cite as

On topological properties of solution sets of non Lipschitzian quantum stochastic differential inclusions

  • S. A. BishopEmail author
  • E. O. Ayoola
Article
  • 84 Downloads

Abstract

In this paper, we establish results on continuous mappings of the space of the matrix elements of an arbitrary nonempty set of pseudo solutions of non Lipschitz quantum Stochastic differential inclusion (QSDI) into the space of the matrix elements of its solutions. we show that under the non Lipschitz condition, the space of the matrix elements of solutions is still an absolute retract, contractible, locally and integrally connected in an arbitrary dimension. The results here generalize existing results in the literature.

Keywords

Non classical ODI Non-Lipschitz function Topological properties Matrix elements 

Mathematics Subject Classification

60H10 60H20 65L05 81S25 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of MathematicsCovenant UniversityOtaNigeria
  2. 2.Department of MathematicsUniversity of IbadanIbadanNigeria

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