Fredholm solvability

id: fredholm-solvability-314-10555829
title: Fredholm solvability
text: In mathematics, Fredholm solvability encompasses results and techniques for solving differential and integral equations via the Fredholm alternative and, more generally, the Fredholm-type properties of the operator involved. The concept is named after Erik Ivar Fredholm. Let A be a real n × n-matrix and b ∈ R n a vector. The Fredholm alternative in R n states that the equation A x = b has a solution if and only if b T v = 0 for every vector v ∈ R n satisfying A T v = 0 . This alternative has man
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original url: https://en.wikipedia.org/wiki/Fredholm_solvability
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date modified: 2023-12-09T01:43:03Z
main entity: {"identifier":"Q28404553","url":"https://www.wikidata.org/entity/Q28404553"}
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