Existence and continuability of solutions for differential equations with delays and state-dependent impulses. (English) Zbl 1015.34069

Liu, Xinzhi; Ballinger, George

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 4, 633-647 (2002).

The authors extend existence and uniqueness results to impulsive delay differential equations where the impulses are state-dependent. They establish the continuability of solutions to a maximal interval of existence.

Reviewer: Ivanka Stamova (Bourgas)

MSC:

34K45	Functional-differential equations with impulses
34K05	General theory of functional-differential equations

Keywords:

existence; continuability; differential equations; delay; impulses

References:

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