The MalgrangeEhrenpreis theorem states that the differential equation, an equation that relates one or more functions and their derivatives, where P is a polynomial in several variables and  is the Dirac delta function, has a distributional solution u.
This means that the differential equation where P is a polynomial in several variables and  is the Dirac delta function, has a distributional solution u. In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. 
