This article is cited in 5 papers

Finding bifurcations for solutions of nonlinear equations by quadratic programming methods

A. A. Ivanov^a, Ya. Sh. Il'yasov<sup>b

a</sup> Bashkir State University, Ufa
^b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa

Abstract: The authors study solution to nonlinear equations bifurcation of the turn point type. Here method of extended functional is used and bifurcation is found as solution to variational problems of minimax type. Iteration algorithm is constructed on the ground of the steepest descend for the piecewise-smooth maps.

Key words: bifurcation of solutions; minimax problem; steepest ascend direction; nonlinear elliptic equations; quadratic programming.

UDC: 519.658

MSC: 90C20

Received: 21.06.2012
Revised: 28.08.2012

DOI: 10.7868/S0044466913030071

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