Definition:Differential Equation/Distributional
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Definition
A differential equation is classified as distributional if, in addition to ordinary and partial derivatives and functions, they also involve at least one of the following notions:
- Distributional ordinary derivative
- Distributional partial derivative
- Distribution and/or its derivatives
Note that every standard differential equation can be written as a distributional one, but not the other way around.
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Sources
- 2017: Amol Sasane: A Friendly Approach to Functional Analysis ... (next): Chapter $\S 6.3$: Weak solutions