caa a22 4500 378896547 CHVBK 20180305123507.0 cr unu---uuuuu 161128e20041001xx s 000 0 eng 10.1515/1569394042248256 doi (NATIONALLICENCE)gruyter-10.1515/1569394042248256 Operator of extrapolation from a finite set of quasi-polynomial vector-functions and its applications [Elektronische Daten] [M. N. Zav'yalov, L. S. Maergoiz] We consider the inverse problem for a first-order homogeneous system of linear ordinary differential equations (LODE), where Y(t) is a vector-function with n components and A is an unknown matrix of dimensionality n × n with constant complex coefficients and certain restrictions imposed on its eigenvalues. The boundary conditions are Ck := Y(tk ), tk = t 0 + kd, d > 0, k = 0, 1, ... , N, N ≥ n. Here is a given system of vectors in . This problem is equivalent to the problem of extrapolating a vector-function composed of quasi-polynomials representing solutions of some LODEs with constant coefficients of order n. The zone of solution stability of the system against small-amplitude input data oscillations is described. The results obtained are used to construct an approximation algorithm for a real vector-function of one variable set at a finite number of nodes of a uniform grid (modified Prony algorithm). Copyright 2004, Walter de Gruyter Zav'yalov M. N. E-mail: maergoiz@krsk.info aut Maergoiz L. S. Krasnoyarsk State Academy of Architecture and Civil Engineering. Svobodny prosp., 82, Krasnoyarsk, 660041, Russia. E-mail: maergoiz@krsk.info aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/4(2004-10-01), 435-446 0928-0219 12:4<435 2004 12 jiip https://doi.org/10.1515/1569394042248256 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042248256 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zav'yalov M. N. E-mail: maergoiz@krsk.info aut NATIONALLICENCE 700 1- Maergoiz L. S. Krasnoyarsk State Academy of Architecture and Civil Engineering. Svobodny prosp., 82, Krasnoyarsk, 660041, Russia. E-mail: maergoiz@krsk.info aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/4(2004-10-01), 435-446 0928-0219 12:4<435 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter