Glasnik Matematicki, Vol. 39, No.1 (2004), 73-76.
A COMPARISON RESULT FOR A LINEAR DIFFERENTIAL
EQUATION WITH PIECEWISE CONSTANT DELAY
Juan J. Nieto
Departamento de Analisis Matematico, Facultad de Matematicas,
Universidad de Santiago de Compostela,
Santiago de Compostela, 15782, Spain
e-mail: amnieto@nsc.es
Abstract. We present a new comparison result for an
equation of the form
u'(t) + m u(t)
+ n u([t]) =
σ,
t ∈ [0,T]
where [ · ]
denotes the greatest integer function.
2000 Mathematics Subject Classification.
34K06, 34K10.
Key words and phrases. Differential inequalities,
functional differential equations, piecewise constant delay, periodic
boundary conditions.
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