Iterative solutions for a beam equation with nonlinear boundary conditions of third order

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Abstract

A fourth-order differential equation with nonlinear boundary conditions modeling beams on elastic foundations is considered. Iterative solutions are proved through the contraction principle. Some numerical simulations are also provided. © 2003 Elsevier Inc. All rights reserved.

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Ma, T. F., & Da Silva, J. (2004). Iterative solutions for a beam equation with nonlinear boundary conditions of third order. Applied Mathematics and Computation, 159(1), 11–18. https://doi.org/10.1016/j.amc.2003.08.088

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