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

HTML  Download Download as PDF (Size: 164KB)  PP. 993-998  
DOI: 10.4236/am.2011.28137    4,353 Downloads   8,061 Views  

Affiliation(s)

.

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.

Share and Cite:

P. 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.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.