Representation of solutions of eight systems of difference equations via generalized Padovan sequences | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 447-471 اصل مقاله (188.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22477.2368 | ||
| نویسندگان | ||
| Merve KARA* 1؛ Yasin Yazlik2 | ||
| 1Ortakoy Vocational High School, Aksaray University, Aksaray, Turkey | ||
| 2Department of Mathematics, Faculty of Science, Nevsehir Haci Bektas Veli University, Nevsehir, Turkey | ||
| چکیده | ||
| We indicate that the systems of difference equations $$ x_{n+1}=f^{-1}\big( af\left( p_{n-1}\right)+bf\left( q_{n-2}\right) \big) , \ \ y_{n+1}=f^{-1}\big( af\left( r_{n-1}\right)+bf\left( s_{n-2}\right) \big) ,\ \ n\in \mathbb{N}_{0},$$ where the sequences $p_{n}$, $q_{n}$, $r_{n}$, $s_{n}$ are some of the sequences $x_{n}$ and $y_{n}$, $f : D_f \longrightarrow \mathbb{R}$ be a $ ``1-1" $ continuous function on its domain $D_f \subseteq \mathbb{R}$, initial values $x_{-j}$, $y_{-j}$, $j\in\{0,1,2\}$ are arbitrary real numbers in $D_f$ and the parameters $a,b $ are arbitrary complex numbers, with $b\neq 0$, can be solved in the closed form in terms of generalized Padovan sequences. | ||
| کلیدواژهها | ||
| system of difference equations؛ solution of closed form؛ Padovan number | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 44,877 تعداد دریافت فایل اصل مقاله: 50,360 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 722 |
| تعداد مقالات | 10,381 |
| تعداد مشاهده مقاله | 72,829,716 |
| تعداد دریافت فایل اصل مقاله | 64,523,878 |