Geodesic
Bifurcation theory of the time-dependent von Kármán equations
Applications of Mathematics, Tome 29 (1984) no. 1, pp. 3-13.

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In this paper the author studies existence and bifurcation of a nonlinear homogeneous Volterra integral equation, which is derived as the first approximation for the solution of the time dependent generalization of the von Kármán equations. The last system serves as a model for stability (instability) of a thin rectangular visco-elastic plate whose two opposite edges are subjected to a constant loading which depends on the parameters of proportionality of this boundary loading.
DOI : 10.21136/AM.1984.104063
Classification : 45D05, 45G10, 45M10, 73F15, 73K10, 74Hxx
Keywords: existence; bifurcation; nonlinear homogeneous Volterra integral equation; von Kármán equations; stability; rectangular visco-elastic plate 
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     title = {Bifurcation theory of the time-dependent von {K\'arm\'an} equations},
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Brilla, Igor. Bifurcation theory of the time-dependent von Kármán equations. Applications of Mathematics, Tome 29 (1984) no. 1, pp. 3-13. doi : 10.21136/AM.1984.104063. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104063/

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