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On the smoothness of solutions of impulsive autonomous systems
Date
2005-01-01
Author
Akhmet, Marat
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Applied Mathematics
,
Analysis
URI
https://hdl.handle.net/11511/41165
Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
DOI
https://doi.org/10.1016/j.na.2004.08.028
Collections
Department of Mathematics, Article