G. A. Sviridyuk, S. A. Zagrebina, P. O. Pivovarova, “Hoff Equation Stability on a Graph”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010, Issue 1(20),Pages <nobr>6

This article is cited in 10 papers

Differential Equations

Hoff Equation Stability on a Graph

G. A. Sviridyuk^a, S. A. Zagrebina^a, P. O. Pivovarova^b

^a Dept. of Mathematical Physics Equations, Southern Ural State University, Chelyabinsk
^b Dept. of Mathematical Analysis, Magnitogorsk State University, Magnitogorsk

Abstract: We consider the stability of stationary solutions of the Hoff equation on a graph, which is a model design of I-beams. The basic approach second Lyapunov method, modified according to our situation. In the end explains the technical meaning of the parameter $\lambda_0$.

Keywords: Hoff equations, stability, Lyapunov function, graph.

UDC: 517.9

MSC: 35B35, 35K70

Original article submitted 04/IX/2009
revision submitted – 13/III/2010

DOI: 10.14498/vsgtu735