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Volume 8, Number 5, 2018, Pages 1575-1585                                                                DOI:10.11948/2018.1575
Boundedness of solutions for impulsive differential equations with integral jump conditions
Jing Shao,Fanwei Meng
Keywords:Impulsive differential equation, boundedness, integral inequalities, integral jump condition, discontinuous function.
Abstract:
      The boundedness of solutions for certain nonlinear impulsive differential equations are obtained, the jumping conditions at discontinuous points are related to the integral of the past states, rather than a left hand limit at the discontinuous points. These results are obtained by new built impulsive integral inequalities with integral jumping conditions using the method of successive iteration.
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