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Letu∈R ,for any ε＞0,the processes X ε = { X ε(t ); 0 ≤ t≤ 1}are governed by the following random evolution equations d X ε ( t ) = b ( X ε ( t ),ν ( t ))dt-εd St/ε,where S = {S t ; 0≤ t ≤1 } is a compound Poisson process,the process ν = {ν (t ); 0 ≤ t≤1 }