On positive solutions of some nonlinear fourth-order beam equations

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Infinitely many solutions for a fourth-order elastic beam equation (2011, methodology): “Infinitely many solutions for problem (Dλ) are obtained in [1] where A = B = 0 and f is monotone increasing in u.”
Existence of solutions to nonlinear Hammerstein integral equations and applications (2006, background): “existence of positive solutions on BVP (1.2), see [ 1 ,6].”
Positive fixed points and fourth‐order equations (2009, methodology): “Bai and Wang [3] improved the preceding results in two main directions: f0 and f∞ need not belong to the set {0,∞} in order to guarantee the existence of solution for every λ 1, and”
Existence and multiplicity of solutions of a kind of fourth-order boundary value problem (2005, background): “where a ∈[ 0,4), p, c > 0 ,b is continuous on [0, 1 ].”