# Difference between revisions of "Forward jump"

From timescalewiki

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=Properties= | =Properties= | ||

+ | [[Forward jump is rd-continuous]]<br /> | ||

=References= | =References= | ||

* {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Time scale|next=Induction on time scales}}: Definition 1.1 | * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Time scale|next=Induction on time scales}}: Definition 1.1 |

## Revision as of 23:37, 4 January 2017

Let $\mathbb{T}$ be a time scale. The forward jump operator $\sigma \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula $$\sigma(t)=\inf \left\{ x \in \mathbb{T} \colon x > t \right\}.$$

# Properties

# References

- Martin Bohner and Allan Peterson:
*Dynamic Equations on Time Scales*(2001)... (previous)... (next): Definition 1.1