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Delay differential systems with discontinuous initial data and existence and uniqueness theorems for systems with impulse and delay. (English) Zbl 0802.34080

The authors obtain results concerning local and global existence and uniqueness of solutions of systems of delay-differential equations with discontinuous initial data. They establish local existence of solutions of a class of impulsive delay-differential equations and study the continuation problem of these solutions.

MSC:

34K05 General theory of functional-differential equations
34A37 Ordinary differential equations with impulses
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