Delta exponential dynamic equation

Theorem

Let $\mathbb{T}$ be a time scale and let $p \in \mathcal{R}(\mathbb{T},\mathbb{C})$. The following dynamic equation holds: $$y^{\Delta}(t)=p(t)y(t), \quad y(s)=1$$ is called the exponential dynamic equation. Its solution is the delta exponential.

References

• Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): $(2.17)$