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Z. Bai and H. Wang, “On Positive Solutions of Some Nonlinear Fourth-Order Beam Equations,” Journal of Mathematical Analysis and Applications, Vol. 270, No. 2, 2002, pp. 357-368. doi:10.1016/S0022-247X(02)00071-9

has been cited by the following article:

• TITLE: Approach to a Fifth-Order Boundary Value Problem, via Sperner's Lemma

  AUTHORS: Panos K. Palamides, Evgenia H. Papageorgiou

  KEYWORDS: Fifth-Order Differential Equation, Vector Field, Kneser’s Theorem, Sperner’s Lemma

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 24, 2011

  ABSTRACT: We consider the five-point boundary value problem for a fifth-order differential equation, where the nonlinearity is superlinear at both the origin and +infinity. Our method of proof combines the Kneser’s theorem with the well-known from combinatorial topology Sperner’s lemma. We also notice that our geometric approach is strongly based on the associated vector field.