This article is cited in 3 papers

A method for solving nonlinear spectral problems for a class of systems of differential algebraic equations

A. A. Abramov^a, V. I. Ul'yanova^a, L. F. Yukhno<sup>b

a</sup> Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
^b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia

Abstract: A method for calculating eigenvalues of a nonlinear spectral problem for one class of linear differential algebraic equations is proposed under the assumption of an analytical dependence on spectral parameter of the matrices appearing in the system of equations and the matrices determining boundary conditions.

Key words: differential algebraic equation, nonlinear spectral problem, eigenvalue calculation.

UDC: 519.624.2

Received: 10.10.2006

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:5, 791–796

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