Abstract.
An extensible beam equation with a stochastic force of a white noise type is studied, Lyapunov functions techniques being used to prove existence of global mild solutions and asymptotic stability of the zero solution.
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This research was supported in part by the GA ČR Grants no. 201/98/1454, 201/01/1197 and by a Royal Society grant
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Brzeźniak, Z., Maslowski, B. & Seidler, J. Stochastic nonlinear beam equations. Probab. Theory Relat. Fields 132, 119–149 (2005). https://doi.org/10.1007/s00440-004-0392-5
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DOI: https://doi.org/10.1007/s00440-004-0392-5