Asymptotic equivalence of impulsive dynamic equations on time scales

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Hacettepe Journal of Mathematics and Statistics
Volume:52 Issue:2
Asymptotic equivalence of impulsive dynamic equations on time scales

Asymptotic equivalence of impulsive dynamic equations on time scales

Pages : 277-291

View : 22 | Download : 13

Publication Date : 2023-03-31

Article Type : Research Paper

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.
Keywords : asymptotic equivalence, dynamic equations, time scales, linear quasilinear

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.