caa a22 4500 378896539 CHVBK 20180305123507.0 cr unu---uuuuu 161128e20041001xx s 000 0 eng 10.1515/1569394042248210 doi (NATIONALLICENCE)gruyter-10.1515/1569394042248210 An inverse problem for linear Sobolev type equations [Elektronische Daten] [V. E. Fedorov, A. V. Urazaeva] The inverse problem for linear operator-differential equation of the first order with degenerate operator near derivative, with unknown function in the right-hand side of the equation and generally speaking with integral condition of overdetermination are investigated. It is shown that under the assumptions on the operator in equations that guarantee the existence of analytic resolving semigroup of homogeneous equation the satisfying of some concordance condition for initial and final datas is necessary for the solvability of the problem. But if one put initial data only on the image of the resolving semigroup then the conditions of well-posedness of the equations can be found. Copyright 2004, Walter de Gruyter Fedorov V. E. Chelyabinsk State University, Kashirin Brothers Str., 129, Chelyabinsk, 454021, Russia. E-mail: kar@csu.ru aut Urazaeva A. V. Chelyabinsk State University, Kashirin Brothers Str., 129, Chelyabinsk, 454021, Russia. E-mail: kar@csu.ru aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/4(2004-10-01), 387-395 0928-0219 12:4<387 2004 12 jiip https://doi.org/10.1515/1569394042248210 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042248210 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fedorov V. E. Chelyabinsk State University, Kashirin Brothers Str., 129, Chelyabinsk, 454021, Russia. E-mail: kar@csu.ru aut NATIONALLICENCE 700 1- Urazaeva A. V. Chelyabinsk State University, Kashirin Brothers Str., 129, Chelyabinsk, 454021, Russia. E-mail: kar@csu.ru aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/4(2004-10-01), 387-395 0928-0219 12:4<387 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter