Electron. J. Diff. Eqns., Vol. 2006(2006), No. 73, pp. 1-12.

Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term

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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