Forward jump
From timescalewiki
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
- Billy Jackson: Partial dynamic equations on time scales (2006)... (previous)... (next): Appendix
- Dorota Mozyrska and Ewa Pawluszewicz: Functional series on time scales (2008)... (previous)... (next)
