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