Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

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

On topological properties of solution sets of non Lipschitzian quantum stochastic differential... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

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

Analysis and Mathematical Physics , Volume 6 (1) – Sep 2, 2015

Loading next page...
 
/lp/springer-journals/on-topological-properties-of-solution-sets-of-non-lipschitzian-quantum-P0NQOPF6cZ
Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-015-0109-1
Publisher site
See Article on Publisher Site

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.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Sep 2, 2015

References