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Scientific Journal of Samarkand University

Abstract

In this paper, a uniqueness theorem is proved, and an estimate of conditional stability is obtained, and an approximate solution is constructed by the method of quasi-derivation and Tikhonov regularization.

First Page

17

Last Page

22

References

1.Carleman T.,Les functions quasi analytiques,Paris,1926. 2. Lavrentev M.M. O zadache Koshi dlya uravneniya Laplasa //Dokladi Ak.nauk SSSR,102,№2(1955),S.205-206. 3. Lavrentev M.M.Uslovno-korrektnie zadachi dlya differensialnix uravneniy.Novosibirsk, NGU 1973.71s. 4. Fayazov K.S. Hisoblash matematikasi,matematik fizika va analizning nokorrekt masalalarini yechish usullari. Toshkent, O‘zMU, 2001, 100 bet. 5. Kabanixin S.I. Obratnie i nekorrektnie zadachi. Sibirskoye nauchnoye iizdatelstvo,Novosibirsk 2009,450 s.

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