Тип публикации: статья из журнала

Год издания: 2004

Идентификатор DOI: 10.1515/1569394042248256

Аннотация: We consider the inverse problem for a first-order homogeneous system of linear ordinary differential equations (LODE), d/dt Y (t) = AY (t), where Y (t) is a vector-function with n components and A is an unknown matrix of dimensionality n x n with constant complex coefficients and certain restrictions imposed on its eigenvalues. The boundary conditions are C_k := Y (t_k), t_k = t₀ + kd, d > 0, k= 0, 1,..., N, N ≥ n. Here {C_k}₀^Nis a given system of vectors in ℂⁿ. 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). © VSP 2004.

Журнал: Journal of Inverse and Ill-Posed Problems

Выпуск журнала: Т. 12, № 4

Номера страниц: 435-446

ISSN журнала: 09280219

Издатель: Brill Academic Publishers

• Maergoiz L.S. (Krasnoyarsk State Academy of Architecture and Civil Engineering)
• Zav'yalov M.N.

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