Integral equation
Integral equation 35 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia For equations of integer unknowns, see Diophantine equation . In mathematics , integral equations are equations in which an unknown function appears under an integral sign. [1] In mathematical notation, integral equations may thus be expressed as being of the form: � ( � 1 , � 2 , � 3 , . . . , � � ; � ( � 1 , � 2 , � 3 , . . . , � � ) ; � 1 ( � ) , � 2 ( � ) , � 3 ( � ) , . . . , � � ( � ) ) = 0 where � � ( � ) is an integral operator acting on u. [1] Hence, integral equations may be viewed as the analog to differential equations where instead of the equation involving derivatives, the equation contains integrals. [1] A direct comparison can be seen with the mathematical form of the general integral equation above with the general form of a differential equation which m...