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2007, 2007(Special): 814-823. doi: 10.3934/proc.2007.2007.814

Singular boundary value problems, via Sperner's lemma

Panos K. Palamides 1, and  Alex P. Palamides 2,

1. 

Naval Academy of Greece, Piraeus, 451 10, Greece
2. 

University of Peloponesse, Department of Telecommunications Science and Technology, Tripolis, Greece

Received  September 2006 Revised  March 2007 Published  September 2007

In this paper existence results of positive solutions, by means of a new approaches, for the $3^(the)$ order three-point BVP

$x'''(t) = \alpha (t) f(t, x(t), x' (t) , x'' (t)), x (0) = x' (n) = x'' (1) = 0,$

Keywords: Three point singular boundary value problem; third order differential equation; positive solution; vector field; Sperner’s lemma; fixed point; cone..

Mathematics Subject Classification: Primary 34B10, 34B18; Secondary 34B15, 34G2.
Citation: Panos K. Palamides, Alex P. Palamides. Singular boundary value problems, via Sperner's lemma. Conference Publications, 2007, 2007 (Special) : 814-823. doi: 10.3934/proc.2007.2007.814
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