| Autor: |
Maryam AL-Towailb |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 7, Iss 5, Pp 9339-9352 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2022518?viewType=HTML |
| Popis: |
In this paper, we study the existence of solutions for the general $ q $-Lidstone problem: $ \begin{equation*} (D_{q^{-1}}^{r_n}f)(1) = a_n, \quad (D_{q^{-1}}^{s_n}f)(0) = b_n, \quad (n\in \mathbb{N}) \end{equation*} $ where $ (r_n)_n $ and $ (s_n)_n $ are two sequences of non-negative integers and $ (a_n)_n $ and $ (b_n)_n $ are two sequences of complex numbers. We define a $ q^{-1} $-standard set of polynomials and then we introduce a generalization of the $ q $-Lidstone expansion theorem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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