Abstract
In this paper, a monotone positive solution is studied for deflection of nano cantilever beams which is subject to electrostatic and intermolecular forces in a distributed model. A positive monotone solution base on Green's function in the form of a nonlinear iterative integral is introduced, to obtain a solution for deflection of nano cantilever beams. In order to determine the accuracy of presented method, the results are compared with numerical results of a boundary value method. The results show the monotone iterative solution is stable and converged to numerical results with a few iterations. The results of present work are useful to prove the stability and convergence of Green's function to deal with deflection of nano cantilever switches in future works and simplifications.
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