摘要：Linear differential equation y ˙ ( t ) = − c ( t ) y ( t − r ) , where c ( t ) is a positive continuous function and delay r is a positive constant, is considered for t → ∞ . It is proved that, under certain assumptions on the function c ( t ) and delay r, a class of positive linear initial functions defines dominant positive solutions with positive limit for t → ∞ . MSC:34K15, 34K25.
关键词：linear differential equation with delay ; initial function ; retract method ; dominant solution ; asymptotic behavior of solution
