George L. Karakostas
Abstract:
Sufficient conditions are given for the existence of
positive solutions of a boundary-value problem concerning a
second-order delay differential equation with damping and
forcing term whose the delayed part is an actively bounded function,
a meaning which is introduced in this paper.
The Krasnoselskii fixed point theorem on cones in Banach spaces is used.
Submitted May 3, 2006. Published July 10, 2006.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems; delay differential equations;
positive solutions; Krasnoselskii fixed point theorem.
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George L. Karakostas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece email gkarako@uoi.gr |
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