Bishop, S.A. and Ayoola, E.O.
(2016)
*On topological properties of solution sets of non Lipschitzian quantum stochastic differential inclusions.*
Analysis and Mathematical Physics, 6 (1).
pp. 85-94.
ISSN 1664-235X

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## 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.

Item Type: | Article |
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Uncontrolled Keywords: | Non classical ODINon-Lipschitz functionTopological propertiesMatrix elements |

Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |

Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |

Depositing User: | Mrs Hannah Akinwumi |

Date Deposited: | 15 Dec 2016 15:20 |

Last Modified: | 15 Dec 2016 15:20 |

URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/7490 |

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