Existence, uniqueness and boundedness results for impulsive delay differential equations. (English) Zbl 1031.34081

Summary: The authors study general impulsive delay differential equations. By utilizing a nonclassical approach, a theory of existence and uniqueness of solutions are developed. Criteria on the boundedness of solutions are also established using Lyapunov functionals.


34K45 Functional-differential equations with impulses
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
34K05 General theory of functional-differential equations
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