Tikhonov theorem for differential equations with singular impulses

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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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Citation Formats

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.