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Asymptotic solutions of differential equations with singular impulses
Date
2024-01-01
Author
Aviltay, Nauryzbay
Akhmet, Marat
Zhamanshin, Akylbek
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied to obtain the main result. Examples with simulations confirming the theoretical results are given.
Subject Keywords
Differential equations with singular impulses
,
the method of boundary functions
,
the Vasil’eva theorem
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85194169616&origin=inward
https://hdl.handle.net/11511/109981
Journal
Carpathian Journal of Mathematics
DOI
https://doi.org/10.37193/cjm.2024.03.02
Collections
Department of Mathematics, Article
Citation Formats
IEEE
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BibTeX
N. Aviltay, M. Akhmet, and A. Zhamanshin, “Asymptotic solutions of differential equations with singular impulses,”
Carpathian Journal of Mathematics
, vol. 40, no. 3, pp. 581–598, 2024, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85194169616&origin=inward.
