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On stationary solutions of a nonlinear system of reactor dynamic equations with distributed parameters

  • Partial Differential Equations
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Abstract

We analyze a nonlinear stationary model of reactor dynamics with distributed parameters. We find sufficient conditions for the existence of bifurcation points in this system and study the behavior of solutions in a neighborhood of the bifurcation points. We prove the existence of countably many bifurcation points in the case of a homogeneous medium and obtain constructive estimates for the distance between the bifurcation points.

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Authors and Affiliations

  1. Dimitrovgrad Branch, Ul’yanovsk State University, Dimitrovgrad, Russia

    R. S. Makin

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  1. R. S. Makin
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Original Russian Text © R.S. Makin, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 9, pp. 1273–1285.

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Makin, R.S. On stationary solutions of a nonlinear system of reactor dynamic equations with distributed parameters. Diff Equat 45, 1300–1312 (2009). https://doi.org/10.1134/S0012266109090067

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