Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
Electronic journal of differential equations, Tome 2006 (2006)
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.
Classification :
34B15, 34B18
Keywords: boundary value problems, delay differential equations, positive solutions, Krasnoselskii fixed point theorem
Keywords: boundary value problems, delay differential equations, positive solutions, Krasnoselskii fixed point theorem
@article{EJDE_2006__2006__a143,
author = {Karakostas, George L.},
title = {Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term},
journal = {Electronic journal of differential equations},
year = {2006},
volume = {2006},
zbl = {1117.34062},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a143/}
}
TY - JOUR AU - Karakostas, George L. TI - Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term JO - Electronic journal of differential equations PY - 2006 VL - 2006 UR - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a143/ LA - en ID - EJDE_2006__2006__a143 ER -
%0 Journal Article %A Karakostas, George L. %T Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term %J Electronic journal of differential equations %D 2006 %V 2006 %U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a143/ %G en %F EJDE_2006__2006__a143
Karakostas, George L. Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a143/