Existence and iteration of monotone positive solutions for an elastic beam equation with a corner |
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Authors: | Xiaoping Zhang |
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Institution: | College of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, Zhejiang 310018, PR China |
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Abstract: | This paper is concerned with the existence of monotone positive solutions for an elastic beam equation with a corner. The boundary conditions mean that the beam is embedded at one end and fastened with a sliding clamp at the other end. By applying monotone iterative techniques, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions. |
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