Abstract
The asymptotic equivalence of linear and quasilinear impulsive dynamic equations on time
scales, as well as two types of linear equations, are proven under mild conditions. To establish the asymptotic equivalence of two impulsive dynamic equations a method has been developed that does not require
restrictive conditions, such as the boundedness of the solutions. Not only the time scale extensions of former
results have been obtained, but also improved for impulsive differential equations defined on the real line.
Some illustrative examples are also provided, including an application to a generalized Duffing equation
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
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