Hyers–Ulam Stability in Terms of Dichotomy of First Order Linear Dynamic Systems

Authors

  • Akbar Zada Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan.
  • Syed Omar Shah Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan.
  • Samreen Ismail Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan.
  • Tongxing Li School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China.

Keywords:

Exponential stability, Exponential dichotomy, Hyers–Ulam stability, Time scale

Abstract

In this paper, we establish connections between the Hyers– Ulam stability of the first order linear dynamic system and its dichotomy. The main tool for proving our results is the spectral decomposition theorem on time scales. 

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Published

2017-12-31

Issue

Vol. 49 No. 3 (2017)

Section

Articles

License

Copyright (c) 2017 Akbar Zada, Syed Omar Shah, Samreen Ismail, Tongxing Li

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Hyers–Ulam Stability in Terms of Dichotomy of First Order Linear Dynamic Systems. (2017). Punjab University Journal of Mathematics, 49(3), 34-44. https://pujm.pu.edu.pk/index.php/pujm/article/view/105