The Method of Lower and Upper Solutions for a Bending of an Elastic Beam Equation

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Fourth-order problems with nonlinear boundary conditions (2005, background): “We refer the reader to[2,3,6,7,15]for a complete list of references in the subject.”
On positive solutions of some nonlinear fourth-order beam equations (2002, unknown): “2) has received considerable attention (see [1–5]).”
Positive fixed points and fourth‐order equations (2009, methodology): “2): lower and upper solutions [5, 9, 10, 19], monotone iterative technique [2, 11, 13], Krasnoselskii fixed point theorem [6], fixed point index [3, 16, 18, 24], Leray–Schauder degree [12, 14], variational methods [8, 21] and bifurcation theory [17, 20].”