Difference between revisions of "Backward jump"

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=References=
 
=References=
 +
* {{PaperReference|Partial dynamic equations on time scales|2006|Billy Jackson||prev=Forward jump|next=}}: Appendix
 
* {{PaperReference|Functional series on time scales|2008|Dorota Mozyrska|author2=Ewa Pawluszewicz|prev=Forward jump|next=Forward graininess}}
 
* {{PaperReference|Functional series on time scales|2008|Dorota Mozyrska|author2=Ewa Pawluszewicz|prev=Forward jump|next=Forward graininess}}

Revision as of 14:53, 15 January 2023

Let $\mathbb{T}$ be a time scale. The backward jump operator $\rho \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula $$\rho(t) = \sup \left\{s \in \mathbb{T} \colon s <t \right\}.$$

References