Abstract
The concept of ϕ 0-stability and ϕ 0-boundedness recently were introduced for systems of ordinary differential equations (ODEs). Perturbing Liapunov function method was discussed for systems of ODEs and extend to systems of functional differential equations (FDEs). In this paper, we extend these notions to impulsive systems of differential equations via cone perturbing Liapunov function method.
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