G. A. Sviridyuk, A. S. Shipilov, “Stability of solutions of Oskolkov linear equations on a geometrical graph”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2009, Issue 2(19),Pages <nobr>9

This article is cited in 2 papers

Differential Equations

Stability of solutions of Oskolkov linear equations on a geometrical graph

G. A. Sviridyuk, A. S. Shipilov

Dept. of Mathematical Physics Equations, State University of South Ural, Chelyabinsk

Abstract: Stability and unstability of steady-state solutions of Oskolkov linear equations $\lambda u_{jt}-u_{jtxx}=\nu u_{jxx}$ on a geometrical graph depending on parameter $\lambda\in\Bbb R$ are studied.

Keywords: Oskolkov equations, geometrical graph, exponential dichotomies, phase space.

UDC: 517.957

MSC: 35B35, 35K70

Original article submitted 04/IX/2009
revision submitted – 13/X/2009

DOI: 10.14498/vsgtu726