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Tikhonov theorem for differential equations with singular impulses
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Date
2018-01-01
Author
Akhmet, Marat
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The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The Lyapunov second method is applied to proof the main theorems. Illustrative examples with simulations are given to support the theoretical results.
Subject Keywords
Singular differential equations
,
Tikhonov theorem
,
Singular impulsive functions
,
Lyapunov second method
URI
https://hdl.handle.net/11511/38719
Journal
Discontinuity, Nonlinearity, and Complexity
DOI
https://doi.org/10.5890/dnc.2018.09.007
Collections
Department of Mathematics, Article
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M. Akhmet, “Tikhonov theorem for differential equations with singular impulses,”
Discontinuity, Nonlinearity, and Complexity
, pp. 291–303, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38719.