Abstract:

This paper deals with an inverse problem of identifying unknown coefficient in the hyperbolic integro-differential equation, using Principle of Banach compressive image, the existence, the uniqueness and the stability of this inverse problem are demonstrated.

Key words: Ｉｎｔｅｇｒｏｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ, Ｉｎｖｅｒｓｅｐｒｏｂｌｅｍ, ＰｒｉｎｃｉｐｌｅｏｆＢａｎａｃｈｃｏｍｐｒｅｓｓｉｖｅｉｍａｇｅ