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Existence,uniqueness and boundedness results for impulsive delay differential equations
Authors:Gcorge Ballinger  Xinzhi Liu
Affiliation:Department of Applied Mathematics , University of Waterloo , Waterloo, Ontario, N2L3G1, Canada
Abstract:This paper considers general impulsive delay differential equations. By utilizing a non-classical approach, the theory of existence and uniqueness of solutions are developed. Criteria on boundedness of solutions are also established through the use of Lyapunov functionals.
Keywords:mpulsive delay differential equation  existence  uniqueness  boundedness  Lyapunov functional
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