Positivity and lower and upper solutions for fourth order boundary value problems

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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].”
Infinitely many solutions for a fourth-order elastic beam equation (2011, background): “Owing to the importance of fourth-order two-point boundary value problems in describing a large class of elastic deflection, there is a wide literature that deals with multiplicity results for such a problem (see, for instance, [4,5,8], and the references therein).”