Difference between revisions of "Euler-Cauchy dynamic equation"
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| − | Let $\mathbb{T} be a [[time scale]] and let $a, b \in \mathbb{R}$. The following [[dynamic equation]] is called the Euler-Cauchy dynamic equation: | + | Let $\mathbb{T}$ be a [[time scale]] and let $a, b \in \mathbb{R}$. The following [[dynamic equation]] is called the Euler-Cauchy dynamic equation: |
$$t \sigma(t) y^{\Delta \Delta}(t)+at y^{\Delta}(t)+by(t)=0.$$ | $$t \sigma(t) y^{\Delta \Delta}(t)+at y^{\Delta}(t)+by(t)=0.$$ | ||
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=References= | =References= | ||
| + | * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=findme|next=findme}}: (3.35) | ||
[[Category:Definition]] | [[Category:Definition]] | ||
Latest revision as of 23:05, 10 February 2017
Let $\mathbb{T}$ be a time scale and let $a, b \in \mathbb{R}$. The following dynamic equation is called the Euler-Cauchy dynamic equation: $$t \sigma(t) y^{\Delta \Delta}(t)+at y^{\Delta}(t)+by(t)=0.$$
Properties
See also
References
- Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): (3.35)
