Difference between revisions of "Delta exponential dynamic equation"
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| − | Let $\mathbb{T}$ be a [[time scale]] and let $p \in \mathcal{R}(\mathbb{T},\mathbb{C})$. The following [[dynamic equation]] is called the exponential dynamic equation: | + | Let $\mathbb{T}$ be a [[time scale]] and let $p \in$ [[Forward regressive function|$\mathcal{R}$]]$(\mathbb{T},\mathbb{C})$. The following [[dynamic equation]] is called the exponential dynamic equation: |
$$y^{\Delta}(t)=p(t)y(t), \quad y(s)=y_0.$$ | $$y^{\Delta}(t)=p(t)y(t), \quad y(s)=y_0.$$ | ||
Revision as of 16:37, 9 February 2017
Let $\mathbb{T}$ be a time scale and let $p \in$ $\mathcal{R}$$(\mathbb{T},\mathbb{C})$. The following dynamic equation is called the exponential dynamic equation: $$y^{\Delta}(t)=p(t)y(t), \quad y(s)=y_0.$$
Properties
See also
References
- Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): $(2.17)$
