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.
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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:
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$$y^{\Delta}(t)=p(t)y(t).$$
  
 
=Properties=
 
=Properties=
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=References=
 
=References=
* {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Semigroup property of delta exponential|next=findme}}: $(2.17)$
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*{{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Semigroup property of delta exponential|next=findme}}: $(2.17)$
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*{{PaperReference|The logarithm on time scales|2005|Martin Bohner|next=Euler-Cauchy logarithm}}: $(1)$
  
[[Category:Theorem]]
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[[Category:Definition]]
[[Category:Unproven]]
 

Latest revision as of 17:02, 11 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).$$

Properties

See also

Delta exponential

References