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Stability of the zero solution of impulsive differential equations by the Lyapunov second method
Date
2000-08-01
Author
Akhmetov, MU
Zafer, Ağacık
Metadata
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The paper is concerned with the stability of the zero solution of the impulsive system
Subject Keywords
Applied Mathematics
,
Analysis
URI
https://hdl.handle.net/11511/56374
Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
DOI
https://doi.org/10.1006/jmaa.2000.6864
Collections
Department of Mathematics, Article
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The aim of this paper is to investigate dependence of solutions on parameters for nonlinear autonomous impulsive differential equations. We will specify what continuous, differentiable and analytic dependence of solutions on parameters is, define higher order derivatives of solutions with respect to parameters and determine conditions for existence of such derivatives. The theorem of analytic dependence of solutions on parameters is proved.
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M. Akhmetov and A. Zafer, “Stability of the zero solution of impulsive differential equations by the Lyapunov second method,”
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
, pp. 69–82, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56374.