On Weak Solutions of a Functional Differential Equation

Mustapha Yebdri


Weak solution is a common notion in partial differential equations, however it is not the case in ordinary and functional differential equations. It is well known that a classical solution is a weak solution and the converse is false. It should be noted that an equation can have both a strong and weak solution. On the other hand, there are many equations which have no strong solutions but they have weak ones. In the present paper we are interested in weak solutions of functional differential equations.


Functional differential equations, weak solutions, approximate solutions, measure of weak noncompactness, Eberlein-Smulian’s theorem, Ascoli-Arzela’s theorem


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