Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 98, pp. 1-13.
Title: Positive solutions of a three-point boundary-value problem for
differential equations with damping and actively bounded delayed
forcing term
Author: George L. Karakostas (Univ. of Ioannina, Greece)
Abstract:
We provide sufficient conditions for the existence of positive
solutions of a three-point 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 introduced in [19]. By writing the damping term
as a difference of two factors one can extract more information on
the solutions. (For instance, in an application, given in the last
section, we can give the exact value of the norm of the solution).
Submitted July 17, 2006. Published August 25, 2006.
Math Subject Classifications: 34K10.
Key Words: Boundary value problems; delay differential equations;
positive solutions; actively bounded functions;
Krasnoselskii fixed point theorem.