Uniform complete guiding sets
for finite-delay
differential equations
with Rafael Obaya,
in:
Equadiff 2003: International
Conference on
Difference Equations, 848-855,
eds:
F. Dumortier, H. W. Broer, J.
Mawhin, A.
Vanderbauwhede, S. Verduyn Lunel,
World
Scientific
Publishing, Singapore, 2005.
A
technical property based on comparison with ODEs is added to the
definition of
uniform complete guiding set in order to assure the existence of an a
priori bounded
solution for a class of finite-delay equations. Some examples
constitute a sample of
the applicability of this result. In particular, Landesman-Lazer type
conditions
guaranteing a bounded solution for an n-order
escalar equation are
refined.
