Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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COMMUTATIVITY ASSOCIATED WITH EULER SECOND-ORDER DIFFERENTIAL EQUATION

Authors

  • Salisu Ibrahim

Keywords:

commutativity, Euler differential equation, analogue system.

DOI:

https://doi.org/10.17654/0974324322022

Abstract

We study commutativity and the sensitivity of the second-order Euler differential equation. The necessary and sufficient conditions for commutativity of the second-order Euler differential equation are considered. Moreover, the stability, the robustness, and the effect due to disturbance on the second-order Euler linear time-varying system (LTVS) are investigated. An example is given to support the results. The results are well verified using the Matlab Simulink toolbox.

Received: March 2, 2022
Accepted: May 9, 2022

References

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M. Koksal, Commutativity of 4th order systems and Euler systems, Presented in National Congress of Electrical Engineers, Adana, Turkey, Paper no: BI-6, 1988.

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A. Rababah and S. Ibrahim, Weighted degree reduction of Bézier curves with -continuity, International Journal of Advanced and Applied Science 3(3) (2016b), 13-18.

A. Rababah and S. Ibrahim, Geometric degree reduction of Bézier curves, Springer Proceeding in Mathematics and Statistics, Book Chapter 8, 2018. https://www.springer.com/us/book/9789811320941.

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I. Salisu, Explicit Commutativity and Stability for the Heun’s Linear Time-Varying Differential Systems, Authorea, 2021. https://doi.org/10.22541/au.162566323.35099726/v1.

I. Salisu and R. Abedallah, Decomposition of fourth-order Euler-type linear time-varying differential system into cascaded two second-order Euler commutative pairs, Complexity 2022 (2022), Article ID 3690019, 9 pp. https://doi.org/10.1155/2022/3690019.

Salisu Ibrahim, Commutativity of high-order linear time-varying systems, Advances in Differential Equations and Control Processes 27 (2022a), 73-83. http://dx.doi.org/10.17654/0974324322013.

Salisu Ibrahim, Discrete least square method for solving differential equations, Advances and Applications in Discrete Mathematics 30 (2022b), 87-102. http://dx.doi.org/10.17654/0974165822021.

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Published

2022-05-31

Issue

Vol. 28 (2022)

Section

Articles

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How to Cite

COMMUTATIVITY ASSOCIATED WITH EULER SECOND-ORDER DIFFERENTIAL EQUATION. (2022). Advances in Differential Equations and Control Processes, 28, 29-36. https://doi.org/10.17654/0974324322022

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