integral equation
C13382
concept
An integral equation is a mathematical relation in which an unknown function appears under an integral sign, often equated to a given function, and must be solved over a specified domain.
All labels observed (3)
| Label | Occurrences |
|---|---|
| integral equation canonical | 6 |
| integral equations | 1 |
| integral series | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: integral equation
Generated description
An integral equation is a mathematical relation in which an unknown function appears under an integral sign, often equated to a given function, and must be solved over a specified domain.
Instances (8)
| Instance | Via concept surface |
|---|---|
| Schwinger–Dyson equations | integral equations |
| Yang–Yang equation | — |
| Lippmann–Schwinger equation | — |
| Wiener–Hopf equations | — |
|
Volterra integral equations
surface form:
Volterra integral equation
|
— |
| Volterra series | integral series |
| Bethe–Salpeter equation | — |
| Ornstein–Zernike equation | — |