Semilinear stochastic systems: Analysis with the method of the stochastic Green's function and application in mechanics |
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| Authors: | G Adomian N Bellomo R Riganti |
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| Institution: | 1. Center for Applied Mathematics, Tucker Hall, The University of Georgia, Athens, Georgia 30602, USA;2. Istituto di Meccanica Rationale, Politecnico, Torino, Italy |
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| Abstract: | This work deals with the analysis of a class of semilinear vector stochastic operator equations. The method of the stochastic Green's function due to Adomian is extended to the above-mentioned class of equations. Some perturbation techniques are also developed and a pertinent application in nonlinear mechanics is considered. |
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