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consider the initial-boundary value problem for a nonlinear wave equation with
strong structural damping and nonlinear source terms in IR. We prove the global
existence and uniqueness of weak solutions of the problem and then we will study
the determining modes on the phase space by using energy
methods and the concept of the completeness defect.
In this paper, we shall study the uniqueness problems of meromorphic
functions of differential polynomials sharing two values IM. Our results improve
or generalize many previous results on value sharing of meromorphic functions.