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Iterative solutions for a beam equation with nonlinear boundary conditions of third order. (English) Zbl 1095.74018

Summary: We consider a fourth-order differential equation with nonlinear boundary conditions modeling beams on elastic foundations. Iterative solutions are obtained based on the contraction principle. Some numerical simulations are also provided.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
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References:

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