Fredholm integral equation

and

are respectively known as Fredholm equations of the first and second kind. Here φ and K are given and a solution f is sought.

Equations of the first kind often have no solution, or if a solution exists, it may not be unique or depend continuously on φ(x). Equations of the second kind can be shown to have a unique solution when K a continuous function with a suitably small norm.

• identically distributed
• identification space
• identity
• identity
• identity function
• identity matrix
• identity theorem
• if and only if
• iff
• iid
• ill‐conditioned
• Im
• IMA
• image
• imaginary axis
• imaginary number
• imaginary part
• implication
• implicit
• implicit differentiation
• implicit function theorem
• imply
• improper fraction
• improper integrals
• impulse