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Bohner, Martin; Federson, Márcia; Mesquita, Jaqueline Godoy

Continuous dependence for impulsive functional dynamic equations involving variable time scales. (English) Zbl 1329.34144

Appl. Math. Comput. 221, 383-393 (2013).
Summary: Using a known correspondence between the solutions of impulsive measure functional differential equations and the solutions of impulsive functional dynamic equations on time scales, we prove that the limit of solutions of impulsive functional dynamic equations over a convergent sequence of time scales converges to a solution of an impulsive functional dynamic equation over the limiting time scale.

Cited in 7 Documents

MSC:

34N05 Dynamic equations on time scales or measure chains
34A37 Ordinary differential equations with impulses
39B22 Functional equations for real functions

Keywords:

measure functional differential equation; continuous dependence; time scale; dynamic equation
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References:

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