This article is cited in 4 scientific papers (total in 4 papers)
Higher approximations of the averaging method for abstract parabolic equations
I. B. Simonenko
In the authors's article in this journal, vol. 81(123) (1970), pp. 53–61, it was shown that the averaging method of N. N. Bogolyubov can be applied to abstract parabolic equations with unbounded operators which generate analytic semigroups. The nearness of the solutions of the original and the averaged equations in a certain norm was proved.
In the present article it is shown that the successive approximations of the averaging method are near the solution of the original equation in stronger norms and in a stronger asymptotic sense.
Bibliography: 7 titles.
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Mathematics of the USSR-Sbornik, 1973, 21:4, 535–543
MSC: Primary 35K99, 35A35; Secondary 35Q10, 34C30
I. B. Simonenko, “Higher approximations of the averaging method for abstract parabolic equations”, Mat. Sb. (N.S.), 92(134):4(12) (1973), 541–549; Math. USSR-Sb., 21:4 (1973), 535–543
Citation in format AMSBIB
\paper Higher approximations of the averaging method for abstract parabolic equations
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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