Panos K. Palamides
We study the second-order ordinary differential equation
subject to the multi-point boundary conditions
We prove the existence of a positive solution (and monotone in some cases) under superlinear and/or sublinear growth rate in . Our approach is based on an analysis of the corresponding vector field on the face-plane and on Kneser's property for the solution's funnel.
Submitted January 10, 2002. Published February 18, 2002.
Math Subject Classifications: 34B10, 34B18, 34B15.
Key Words: multipoint boundary value problems, positive monotone solution, vector field, sublinear, superlinear, Kneser's property, solution's funel.
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| Panos K. Palamides |
Naval Academy of Greece,
Piraeus 183 03, Greece
Department of Mathematics, Univ. of Ioannina,
451 10 Ioannina, Greece
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