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Volume 35, Issue 2
Hyers-Ulam Stability of First Order Nonhomogeneous Linear Dynamic Equations on Time Scales

Yonghong Shen & Yongjin Li

Commun. Math. Res., 35 (2019), pp. 139-148.

Published online: 2019-12

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  • Abstract

This paper deals with the Hyers-Ulam stability of the nonhomogeneous linear dynamic equation $x^{\Delta}(t)-a x(t)=f(t)$, where $a\in\mathcal{R}^{+}$. The main results can be regarded as a supplement of the stability results of the corresponding homogeneous linear dynamic equation obtained by Anderson and Onitsuka (Anderson D R, Onitsuka M. Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. $Demonstratio$ $Math$., 2018, 51: 198–210).

  • Keywords

Hyers-Ulam stability, ∆-derivative, time scale, linear dynamic equation

  • AMS Subject Headings

34D20, 34N05, 39A30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

shenyonghong2008@hotmail.com (Yonghong Shen)

  • BibTex
  • RIS
  • TXT
@Article{CMR-35-139, author = {Yonghong and Shen and shenyonghong2008@hotmail.com and 5934 and School of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu, 742100 and Yonghong Shen and Yongjin and Li and and 5935 and Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275 and Yongjin Li}, title = {Hyers-Ulam Stability of First Order Nonhomogeneous Linear Dynamic Equations on Time Scales}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {2}, pages = {139--148}, abstract = {

This paper deals with the Hyers-Ulam stability of the nonhomogeneous linear dynamic equation $x^{\Delta}(t)-a x(t)=f(t)$, where $a\in\mathcal{R}^{+}$. The main results can be regarded as a supplement of the stability results of the corresponding homogeneous linear dynamic equation obtained by Anderson and Onitsuka (Anderson D R, Onitsuka M. Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. $Demonstratio$ $Math$., 2018, 51: 198–210).

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.02.05}, url = {http://global-sci.org/intro/article_detail/cmr/13484.html} }
TY - JOUR T1 - Hyers-Ulam Stability of First Order Nonhomogeneous Linear Dynamic Equations on Time Scales AU - Shen , Yonghong AU - Li , Yongjin JO - Communications in Mathematical Research VL - 2 SP - 139 EP - 148 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.02.05 UR - https://global-sci.org/intro/article_detail/cmr/13484.html KW - Hyers-Ulam stability, ∆-derivative, time scale, linear dynamic equation AB -

This paper deals with the Hyers-Ulam stability of the nonhomogeneous linear dynamic equation $x^{\Delta}(t)-a x(t)=f(t)$, where $a\in\mathcal{R}^{+}$. The main results can be regarded as a supplement of the stability results of the corresponding homogeneous linear dynamic equation obtained by Anderson and Onitsuka (Anderson D R, Onitsuka M. Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. $Demonstratio$ $Math$., 2018, 51: 198–210).

Yong-hong Shen & Yong-jin Li. (2019). Hyers-Ulam Stability of First Order Nonhomogeneous Linear Dynamic Equations on Time Scales. Communications in Mathematical Research . 35 (2). 139-148. doi:10.13447/j.1674-5647.2019.02.05
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