Version 1
: Received: 18 September 2024 / Approved: 19 September 2024 / Online: 20 September 2024 (09:44:12 CEST)
How to cite:
Li, J.; Xia, X.; Zhang, C.; Chen, R. Ulam Stability of Second Order Periodic Linear Differential Equations with Periodic Damping. Preprints2024, 2024091562. https://doi.org/10.20944/preprints202409.1562.v1
Li, J.; Xia, X.; Zhang, C.; Chen, R. Ulam Stability of Second Order Periodic Linear Differential Equations with Periodic Damping. Preprints 2024, 2024091562. https://doi.org/10.20944/preprints202409.1562.v1
Li, J.; Xia, X.; Zhang, C.; Chen, R. Ulam Stability of Second Order Periodic Linear Differential Equations with Periodic Damping. Preprints2024, 2024091562. https://doi.org/10.20944/preprints202409.1562.v1
APA Style
Li, J., Xia, X., Zhang, C., & Chen, R. (2024). Ulam Stability of Second Order Periodic Linear Differential Equations with Periodic Damping. Preprints. https://doi.org/10.20944/preprints202409.1562.v1
Chicago/Turabian Style
Li, J., Chuanfang Zhang and Renlian Chen. 2024 "Ulam Stability of Second Order Periodic Linear Differential Equations with Periodic Damping" Preprints. https://doi.org/10.20944/preprints202409.1562.v1
Abstract
We deal with Ulam stability of second order periodic linear differential equations with periodic damping. Necessary and sufficient condition for the Ulam stability of second order periodic linear differential equations is obtained by giving an Ulam stability theorem and an Ulam instability theorem. These results extend the conclusions in relevant literature. In addition, for the situation of constant coefficients, the minimum Ulam constant is given.
Keywords
Ulam stability; periodic coefficient; linear differential equation; minimal Ulam constant
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
