Report
Hyers-Ulam stability of the first order difference equation generated by linear maps
| العنوان: | Hyers-Ulam stability of the first order difference equation generated by linear maps |
|---|---|
| المؤلفون: | Nam, Young Woo |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Primary 39A20, Secondary 39A45 |
| الوصف: | Hyers-Ulam stability of the difference equation $ z_{n+1} = a_nz_n + b_n $ is investigated. If $ \prod_{j=1}^{n}|a_j| $ has subexponential growth rate, then difference equation generated by linear maps has no Hyers-Ulam stability. Other complementary results are also found where $ \lim_{n \rightarrow \infty} \left(\prod_{j=1}^{n}|a_j| \right)^{\frac{1}{n}} $ is greater or less than one. These results contain Hyers-Ulam stability of the first order linear difference equation with periodic coefficients also. Comment: 36 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2101.02364 |
| رقم الانضمام: | edsarx.2101.02364 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |