Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications

Yingying Wang and Zhinan Xia ()
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Yingying Wang: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
Zhinan Xia: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

Mathematics, 2023, vol. 11, issue 9, 1-20

Abstract: For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions. As an application, we apply our main results by studying the Lipschitz stability for measure differential equations and impulsive differential equations. Compared to the classical ones, the conditions here regarding the functions are more general.

Keywords: generalized ordinary differential equations; measure differential equations; impulsive differential equations; Lipschitz stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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