Automatica, Vol.48, No.4, 612-618, 2012
On nonoscillation and stability for systems of differential equations with a distributed delay
For the system with a distributed delay (X) over dot(t) + Sigma(m)(k=1) integral(t)(hk(t))[d(s)R(k)(t, s)]X(s) = 0 and a nonnegative fundamental matrix, solution estimates and stability results are obtained. The results are applied to integro-differential equations and equations of mixed type including both distributed and concentrated delays. (C) 2012 Elsevier Ltd. All rights reserved.
Keywords:Distributed delay;Nonoscillation;Solution estimation;Fundamental matrix;Exponential stability;Linear systems