Averaging of Parabolic Initial-Boundary Value Problems with Rapidly Oscillating Principal Part


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We justify the Krylov–Bogolyubov averaging method for linear and quasilinear parabolic second order initial-boundary value problems with rapidly time-oscillating principal terms.

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P. Babich

Southern Federal University

Email: vleven@math.rsu.ru
俄罗斯联邦, 105/42 Sadovaya St., Rostov-on-Don, 344006

V. Levenshtam

Southern Federal University; Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS and the Government of the Republic Northern Ossetia-Alania

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Email: vleven@math.rsu.ru
俄罗斯联邦, 105/42 Sadovaya St., Rostov-on-Don, 344006; 22, Markusa St., Vladikavkaz, 362027

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