Solution and Positive Solution to Nonlinear Cantilever Beam Equations

摘要

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.