Solution and Positive Solution to Nonlinear Cantilever Beam Equations |
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| Authors: | YAO Qing-liu LI Yong-xiang |
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| Institution: | 1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China
2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | Using the decomposition technique of equation and the fixed point theorem, the existence of solution and positive solution is studied for a nonlinear cantilever beam equation. The equation describes the deformation of the elastic beam with a fixed end and a free end. The main results show that the equation has at least one solution or positive solution, provided that the "height" of nonlinear term is appropriate on a bounded set. |
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| Keywords: | Nonlinear cantilever equation Boundary value problem Solution and positive solution Fixed point theorem |
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