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Monotonically iterative method of nonlinear cantilever beam equations. (English) Zbl 1154.74021
Summary: The positive solution is studied for a nonlinear fourth-order two-point boundary value problem. In mechanics, the problem is called cantilever beam equation. By making use of the monotonically iterative technique, a successively iterative sequence is constructed. By applying the successively approximate method, an existence theorem is proved.

74K10Rods (beams, columns, shafts, arches, rings, etc.) in solid mechanics
74H20Existence of solutions for dynamical problems in solid mechanics
74H15Numerical approximation of solutions for dynamical problems in solid mechanics
Full Text: DOI
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