Difference between revisions of "Delta wave equation"
From timescalewiki
(Created page with "Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales and $c \in \mathbb{R}$. Define the wave equation by $$u^{\Delta_1^2}=c^2 u^{\Delta_2^2},$$ where $\Delta_1...") |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 2: | Line 2: | ||
$$u^{\Delta_1^2}=c^2 u^{\Delta_2^2},$$ | $$u^{\Delta_1^2}=c^2 u^{\Delta_2^2},$$ | ||
where $\Delta_1$ and $\Delta_2$ denote [[Partial Delta Derivative | partial $\Delta$-derivatives]]. | where $\Delta_1$ and $\Delta_2$ denote [[Partial Delta Derivative | partial $\Delta$-derivatives]]. | ||
| + | |||
| + | =References= | ||
| + | * {{PaperReference|Partial dynamic equations on time scales|2006|Billy Jackson||prev=|next=}}: Section 3.2 | ||
Latest revision as of 14:45, 15 January 2023
Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales and $c \in \mathbb{R}$. Define the wave equation by $$u^{\Delta_1^2}=c^2 u^{\Delta_2^2},$$ where $\Delta_1$ and $\Delta_2$ denote partial $\Delta$-derivatives.
References
- Billy Jackson: Partial dynamic equations on time scales (2006): Section 3.2
