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Singular boundary value problems, via Sperner's lemma

Pages: 814 - 823, Issue Special, September 2007

 Abstract        Full Text (210.3K)              

Panos K. Palamides - Naval Academy of Greece, Piraeus, 451 10, Greece (email)
Alex P. Palamides - University of Peloponesse, Department of Telecommunications Science and Technology, Tripolis, Greece (email)

Abstract: 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, 34G20.

Received: September 2006;      Revised: March 2007;      Published: September 2007.