Geodesic
Stability of solutions of Oskolkov linear equations on a~geometrical graph
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 9-16

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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. 
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G. A. Sviridyuk; A. S. Shipilov. Stability of solutions of Oskolkov linear equations on a~geometrical graph. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 9-16. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a1/