... operator (T (t))t≥0satisfies the hypothesis of theorem (2.3) then the solution of Eq.(12) in the case µ = 0 is asymptotic equivalence to the solution of Eq.(12) in the caseµ = 0.Ackowledgments. ... is based on the talk given at the Conference on Mathematics, Mechanics, and Informatics, Hanoi, 7/10/2006, on the occasion of 50th Anniversary of Department of Mathematics,Mechanics and Informatics, ... (A,D(A)), then we can investigate the assertion (2.5) for Eq.(13) (see [7, 11, 12]). Applying the process of argument of parts 2.1 and 2.2 to the uniformlly stable and asymptotic equivalence of above...