On the smoothness of solutions of impulsive autonomous systems

Date

2005-01-01

Author

Akhmet, Marat

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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

Citation Formats

M. Akhmet, “On the smoothness of solutions of impulsive autonomous systems,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 60, no. 2, pp. 311–324, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41165.