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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Trudy SVMO, 2008, Volume 10, Number 2, Pages 136–143 (Mi svmo113)

In Middle Volga Mathematical Society

About one dynamic problem with displacement

O. V. Makeeva

Technological Institute – Brahch Ul'yanovsk State Agricultural Academy

Abstract: The eigenvalues problem at Andronov-Hopf's bifurcation was considered, it's an example of problem on the Schmidt's spectrum. By pseudoperturbation method are improved sufficiently good approximations of eigenvalue and eigenelements. Numerical experiment of Newton-Kantorovich's iterative method is performed.

Keywords: perturbation theory, eigenvalue problem, iterative methods, E. Schmdt's spectrum, Andronov-Hopf's bifurcation.

UDC: 517.940

Received: 25.09.2008



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