Integrability

Integrability is a mathematical concept used in different areas. It can refer to:

• A property of functions or sets depending on a measure. There are p-integrable functions for any positive real number p. See Lp space.
• A property of modules of differential forms, which relates to foliations and the Frobenius theorem.
• The integrability of an ordinary differential equation may refer to integration by quadratures (indefinite integrals); or to the existence of enough integrals of the system.