On nonoscillation and stability for systems of differential equations with a distributed delay

For the system with a distributed delay X ̇ ( t ) + ∑ k = 1 m ∫ h k ( t ) 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.