Panos K. Palamides
Abstract:
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 and Department of Mathematics, Univ. of Ioannina, 451 10 Ioannina, Greece e-mail:ppalam@otenet.gr |
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