Alex P. Palamides, Nikolaos M. Stavrakakis
Abstract:
In this work we study a third-order three-point boundary-value
problem (BVP). We derive sufficient conditions that guarantee
the positivity of the solution of the corresponding linear BVP
Then, based on the classical Guo-Krasnosel'skii's fixed point
theorem, we obtain positive solutions to the nonlinear BVP.
Additional hypotheses guarantee the uniqueness of the solution.
Submitted May 10, 2010. Published October 28, 2010.
Math Subject Classifications: 34B10, 34B18, 34B15, 34G20.
Key Words: Three point singular boundary value problem;
positive solutions;
third order differential equation;
existence; uniqueness; fixed points in cones; Green's functions
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Alex P. Palamides Technological Educational Institute of Piraeus Department Electronic Computer Systems Engineering Athens, Greece email: palamid@teipir.gr |
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Nikolaos M. Stavrakakis Department of Mathematics, National Technical University Zografou Campus, 157 80 Athens, Greece email: nikolas@central.ntua.gr |
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