ABSTRACT

Many impulsive phenomena from physics, biology, control theory, and economics have been successfully described by differential equations containing measures [1,2]. The stability analysis of differential equations containing measures has been the subject of some investigations [3 – 6] in recent years and various interesting results have been reported. However, not much [7 – 11] has been developed in the direction of measure differential large scale systems. The present paper deals with the stability of the measure differential large scale system with multi — distributional derivatives () D x i = F i ( t , x i ) + ∑ j = 1 r G i j ( t , X ) D u j   i = 1 , ⋯ , r https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067498/6ba0c26b-f086-40cc-86ed-1693dc596221/content/eq1003.tif"/>