Abstract
We deal with an abstract second order nonlinear evolution inclusion with its principal part having a small parameter e . We prove the existence of a weak solution when the nonlinearity F is convex as well as nonconvex valued. Then we study the asymptotic behavior of a sequence of solutions {ue} when e → 0. We prove that there exists a limit function u ,a ndu is a solution of the corresponding first order evolution inclusion.
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