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von Kármán equations; viscoelastic plates; stability; plate of constant thickness; uniform compressive load; nonlinear functional analysis; operator; integro-operator formulations; post-buckling; circular plate
The paper deals with the analysis of generalized von Kármán equations which desribe stability of a thin circular viscoelastic clamped plate of constant thickness under a uniform compressible load which is applied along its edge and depends on a real parameter. The meaning of a solution of the mathematical problem is extended and various equivalent reformulations of the problem are considered. The structural pattern of the generalized von Kármán equations is analyzed from the point of view of nonlinear functional analysis.
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