| The study of the uniqueness problems of meromorphic functions is an important re-search in the value distribution ,this aroused domestic and overseas scholars'attentions.Inthis thesis,we mainly study the uniqueness problem of meromorphic functions sharing a smallfunction.First,we discuss the uniqueness problem of meromorphic functions sharing a smallfunction with their linear di?erential polynomials by using normal families of meromorphicfunctions.Next, we also study the uniqueness problem of two meromorphic functions'firstderivatives sharing a nozero small entire function under the conditions of weighted sharing. |