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 $p \in \mathcal{R}(\mathbb{T},\mathbb{C})$. The following [[dynamic equation]] is called the exponential dynamic equation:
$$y^{\Delta}(t)=p(t)y(t), \quad y(s)=1.$$
+
$$y^{\Delta}(t)=p(t)y(t), \quad y(s)=y_0.$$
  
 
=Properties=
 
=Properties=

Revision as of 16:29, 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

Delta exponential

References