Existence,uniqueness and boundedness results for impulsive delay differential equations |
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Authors: | Gcorge Ballinger Xinzhi Liu |
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Affiliation: | Department of Applied Mathematics , University of Waterloo , Waterloo, Ontario, N2L3G1, Canada |
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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. |
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Keywords: | mpulsive delay differential equation existence uniqueness boundedness Lyapunov functional |
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