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

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.

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.

Cite this paper

nullP. Palamides and E. Papageorgiou, "Approach to a Fifth-Order Boundary Value Problem, via Sperner's Lemma,"*Applied Mathematics*, Vol. 2 No. 8, 2011, pp. 993-998. doi: 10.4236/am.2011.28137.

nullP. Palamides and E. Papageorgiou, "Approach to a Fifth-Order Boundary Value Problem, via Sperner's Lemma,"

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